Limites

/*Calculando limites através do 'Dispositivo Prático de Briot-Ruffini'*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>

float a, b, c, x, grau, a2, b2, c2, grau2, grauseg, grau2seg, num, den;
int num2, den2;

void limite1() {
printf("\n");
printf("** y=ax+b **\n\n");
printf("Digite o valor de a: ");
fflush(stdin);
scanf("%f", &a);
printf("Digite o valor de b: ");
fflush(stdin);
scanf("%f", &b);
printf("\n");
printf("Fun��o: y=%.0fx+%.0f\n\n", a, b);
printf("Digite o valor � qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
printf("\n");
printf(
"O valor do limite quando x tender a %.0f na fun��o y=%.0fx+%.0f e: %.0f\n\n",
x, a, b, a * x + b);
}

void limiteinf() {
//Limite para funcoes de qualquer grau
printf("\n");
printf("Digite o maior grau de x: ");
fflush(stdin);
scanf("%f", &grau);
printf("Digite o menor grau de x: ");
fflush(stdin);
scanf("%f", &grauseg);
printf("\n");
printf("** y=ax%.0f+bx%.0f+c **\n\n", grau, grauseg);
printf("Digite o valor de a: ");
fflush(stdin);
scanf("%f", &a);
printf("Digite o valor de b: ");
fflush(stdin);
scanf("%f", &b);
printf("Digite o valor de c: ");
fflush(stdin);
scanf("%f", &c);
printf("\n");
printf("Funcao: y=%.0fx%.0f+%.0fx%.0f+%.0f\n\n", a, grau, b, grauseg, c);
printf("Digite o valor a qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
printf("\n");
printf(
"O valor do limite quando x tender a %.0f na fun��o y=%.0fx%.0f+%.0fx+%.0f e: %.0f\n\n",
x, a, grau, b, c, a * pow(x, grau) + b * pow(x, grauseg) + c);
}

void br() {
int briot = 1, cont = 0;
while (briot) {
//Teoria de Briot Ruffini
printf("\n");
printf("** Briot-Ruffini **\n\n");
if ((grau == 2 && grauseg == 1) || (grau == 3 && grauseg == 2)
|| (grau2 == 4 && grau2seg == 1) || (grau2 == 3 && b2 == 0)) {
//Briot Ruffini no Numerador
if (b < 0)
printf("Numerador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a, grau, b,
grauseg, c);
else
printf("Numerador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a, grau, b,
grauseg, c);
printf("**(x-a)**\n\n");
if (x >= 0) {
printf("O numerador sera dividido por: (x-%.0f)\n\n", x);
} else
printf("O numerador sera dividido por: (x+%.0f)\n\n", -x);
if (grau == 2 && grauseg == 1) {
printf("%.0f | %.0f %.0f | %.0f\n", x, a, b, c);
printf(" | %.0f %.0f | %.0f\n\n", a, (a * x) + b,
((((a * x) + b) * x) + c));
if ((a * x) + b < 0) {
if (x >= 0) {
printf("Resultado: (x%.0f)*(x-%.0f)\n", ((a * x) + b),
x);
} else {
printf("Resultado: (x%.0f)*(x-%.0f)\n", ((a * x) + b),
-x);
}
} else {
if (x >= 0) {
printf("Resultado: (x+%.0f)*(x-%.0f)\n", ((a * x) + b),
x);
} else {
printf("Resultado: (x+%.0f)*(x-%.0f)\n", ((a * x) + b),
-x);
}
}
printf("\n");
}
if (grau == 3 && grauseg == 2) {
if (b < 0)
printf("Completando: %.0fx%.0f%.0fx%.0f+0x1+%.0f\n\n", a,
grau, b, grauseg, c);
else
printf("Completando: %.0fx%.0f+%.0fx%.0f+0x1+%.0f\n\n", a,
grau, b, grauseg, c);
printf("%.0f | %.0f %.0f 0 | %.0f\n", x, a, b, c);
printf(" | %.0f %.0f %.0f | %.0f\n\n", a, (a * x) + b,
(((a * x) + b) * x) + 0,
(((((a * x) + b) * x) + 0) * x) + c);
if ((a * x) + b < 0) {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + b, (((a * x) + b) * x)
+ 0, x);
} else {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",
a, grau - 1, (a * x) + b, (((a * x) + b) * x)
+ 0, -x);
}
} else {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + b, (((a * x) + b) * x)
+ 0, x);
} else {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x+%.0f)\n",
a, grau - 1, (a * x) + b, (((a * x) + b) * x)
+ 0, -x);
}
}
printf("\n");
}
//Briot Ruffini no Denominador
if (b2 < 0 && c2 >= 0)
printf("Denominador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
else if (b2 < 0 && c2 < 0)
printf("Denominador: %.0fx%.0f%.0fx%.0f%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
else if (b2 >= 0 && c2 < 0)
printf("Denominador: %.0fx%.0f+%.0fx%.0f%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
else if (b2 >= 0 && c2 >= 0)
printf("Denominador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
printf("**(x-a)**\n\n");
if (x >= 0) {
printf("O denominador sera dividido por: (x-%.0f)\n\n", x);
} else
printf("O denominador sera dividido por: (x+%.0f)\n\n", -x);
if (grau2 == 3 && b2 == 0) {
if (c2 < 0)
printf("Completando: %.0fx%.0f+0x2+0x1%.0f\n\n", a2, grau2,
c2);
else
printf("Completando: %.0fx%.0f+0x2+0x1+%.0f\n\n", a2,
grau2, c2);
printf("%.0f | %.0f 0 0 | %.0f\n", x, a2, c2);
printf(" | %.0f %.0f %.0f | %.0f\n\n", a2, (a2 * x) + 0,
(((a2 * x) + 0) * x) + 0, (((((((a2 * x) + 0) * x) + 0)
* x) + b2) + c2));
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, x);
} else {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, -x);
}
} else {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, x);
} else {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, -x);
}
}
printf("\n");
}
if (grau2 == 4 && grau2seg == 1) {
if (b2 < 0)
printf("Completando: %.0fx%.0f+0x3+0x2%.0fx%.0f+%.0f\n\n",
a2, grau2, b2, grau2seg, c2);
else
printf("Completando: %.0fx%.0f+0x3+0x2+%.0fx%.0f+%.0f\n\n",
a2, grau2, b2, grau2seg, c2);
printf("%.0f | %.0f 0 0 %.0f | %.0f\n", x, a2, b2, c2);
printf(" | %.0f %.0f %.0f %.0f | %.0f\n\n", a2, (a2
* x) + 0, (((a2 * x) + 0) * x) + 0, (((((a2 * x) + 0)
* x) + 0) * x) + b2, (((((((a2 * x) + 0) * x) + 0) * x)
+ b2) * x) + c2);
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf(
"Resultado: (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, x);
} else {
printf(
"Resultado: (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x+%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, -x);
}
} else {
if (x >= 0) {
printf(
"Resultado: (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, x);
} else {
printf(
"Resultado: (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x+%.0f)\n",
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, -x);
}
}
printf("\n");
}
if (grau == 3 && grauseg == 2 && grau2 == 4 && grau2seg == 1) {
printf("** Nova Divisao **\n\n");
if ((a * x) + b < 0) {
if (x >= 0) {
printf(" (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + b, (((a * x) + b) * x) + 0,x);
} else {
printf(" (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n", a,
grau - 1, (a * x) + b, (((a * x) + b) * x) + 0,-x);
}
} else {
if (x >= 0) {
printf(" (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + b, (((a * x) + b) * x) + 0,
x);
} else {
printf(" (%.0fx%.0f+%.0fx+%.0f)*(x+%.0f)\n", a,
grau - 1, (a * x) + b, (((a * x) + b) * x) + 0,-x);
}
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, (((((a2 * x) + 0) * x) + 0) * x)
+ b2, x);
} else {
printf("x->%.0f (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x+%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, (((((a2 * x) + 0) * x) + 0) * x)
+ b2, -x);
}
} else {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x-%.0f)\n",x,
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, x);
} else {
printf("x->%.0f (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x+%.0f)\n",x,
a2, grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0)
* x) + 0, (((((a2 * x) + 0) * x) + 0)
* x) + b2, -x);
}
}
printf("\n");
if ((a * x) + b < 0) {
printf(" (%.0f(%.0f)%.0f%.0f(%.0f)+%.0f)\n", a, x,
grau - 1, (a * x) + b, x, (((a * x) + b) * x) + 0);
} else {
printf(" (%.0f(%.0f)%.0f+%.0f(%.0f)+%.0f)\n", a, x,
grau - 1, (a * x) + b, x, (((a * x) + b) * x) + 0);
}
printf(" = ----------------------\n");
if (((((a2 * x) + 0) * x) + 0) < 0) {
if ((a2 * x) + b2 < 0) {
printf(
" (%.0f(%.0f)%.0f%.0f(%.0f)2%.0f(%.0f)+%.0f)\n",
a2, x, grau2 - 1, (a2 * x) + 0, x, (((a2 * x)
+ 0) * x) + 0, x,
(((((a2 * x) + 0) * x) + 0) * x) + b2);
} else {
printf(
" (%.0f(%.0f)%.0f+%.0f(%.0f)2%.0f(%.0f)+%.0f)\n",
a2, x, grau2 - 1, (a2 * x) + 0, x, (((a2 * x)
+ 0) * x) + 0, x,
(((((a2 * x) + 0) * x) + 0) * x) + b2);
}
} else {
if ((a2 * x) + b2 < 0) {
printf(
" (%.0f(%.0f)%.0f%.0f(%.0f)2+%.0f(%.0f)+%.0f)\n",
a2, x, grau2 - 1, (a2 * x) + 0, x, (((a2 * x)
+ 0) * x) + 0, x,
(((((a2 * x) + 0) * x) + 0) * x) + b2);
} else {
printf(
" (%.0f(%.0f)%.0f+%.0f(%.0f)2+%.0f(%.0f)+%.0f)\n",
a2, x, grau2 - 1, (a2 * x) + 0, x, (((a2 * x)
+ 0) * x) + 0, x,
(((((a2 * x) + 0) * x) + 0) * x) + b2);
}
}
printf("\n");
num = a * pow(x, grau - 1) + ((a * x) + b)
* pow(x, grauseg - 1) + ((((a * x) + b) * x) + 0);
den = (a2 * pow(x, grau2 - 1)) + (((a2 * x) + 0) * pow(x, grau2
- 2)) + (((((a2 * x) + 0) * x) + 0) * pow(x, grau2seg))
+ ((((((a2 * x) + 0) * x) + 0) * x) + b2);
num2 = num;
den2 = den;
}
if (grau == 2 && grauseg == 1 && grau2 == 3 && b2 == 0) {
printf("** Nova Divisao **\n\n");
if ((a * x) + b < 0) {
if (x >= 0) {
printf(" (x%.0f)*(x-%.0f)\n", ((a * x) + b), x);
} else {
printf(" (x%.0f)*(x-%.0f)\n", ((a * x) + b), -x);
}
} else {
if (x >= 0) {
printf(" (x+%.0f)*(x-%.0f)\n", ((a * x) + b), x);
} else {
printf(" (x+%.0f)*(x-%.0f)\n", ((a * x) + b), -x);
}
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, x);
} else {
printf("x->%.0f (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, -x);
}
} else {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, x);
} else {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + 0, (((a2 * x) + 0) * x)
+ 0, -x);
}
}
printf("\n");
if ((a * x) + b < 0) {
printf(" (x%.0f)\n", ((a * x) + b));
} else {
printf(" (x+%.0f)\n", ((a * x) + b));
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)\n",x, a2, grau2 - 1, (a2
* x) + 0, (((a2 * x) + 0) * x) + 0);
} else {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)\n",x, a2, grau2 - 1, (a2
* x) + 0, (((a2 * x) + 0) * x) + 0);
}
printf("\n");
num = a * pow(x, grau - 1) + ((a * x) + b);
den = a2 * pow(x, grau2 - 1) + (((a2 * x) + 0) * x)
+ (((a2 * x) + 0) * x) + 0;
num2 = num;
den2 = den;
}
if (num2 % 2 == 0 && den2 % 2 == 0) {
printf("Resultado Final: \n\n");
printf(" %.0f\n", num / 2);
printf("= --\n");
printf(" %.0f\n", den / 2);
} else if (num2 % 3 == 0 && den2 % 3 == 0) {
printf("Resultado Final: \n\n");
printf(" %.0f\n", num / 3);
printf("= --\n");
printf(" %.0f\n", den / 3);
} else {
printf("Resultado Final: \n\n");
printf(" %.0f\n", num);
printf("= --\n");
printf(" %.0f\n", den);
}
}
//Opcoes anteriores invertidas (Denominador x Numerador)
if ((grau2 == 2 && grau2seg == 1) || (grau2 == 3 && grau2seg == 2)
|| (grau == 4 && grauseg == 1) || (grau == 3 && b == 0)) {
//Briot Ruffini no Numerador
if (b < 0 && c >= 0)
printf("Numerador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a, grau, b,
grauseg, c);
else if (b < 0 && c < 0)
printf("Numerador: %.0fx%.0f%.0fx%.0f%.0f\n\n", a, grau, b,
grauseg, c);
else if (b >= 0 && c < 0)
printf("Numerador: %.0fx%.0f+%.0fx%.0f%.0f\n\n", a, grau, b,
grauseg, c);
else if (b >= 0 && c >= 0)
printf("Numerador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a, grau, b,
grauseg, c);
printf("**(x-a)**\n\n");
if (x >= 0) {
printf("O Numerador sera dividido por: (x-%.0f)\n\n", x);
} else
printf("O Numerador sera dividido por: (x+%.0f)\n\n", -x);
if (grau == 3 && b == 0) {
if (c < 0)
printf("Completando: %.0fx%.0f+0x2+0x1%.0f\n\n", a, grau, c);
else
printf("Completando: %.0fx%.0f+0x2+0x1+%.0f\n\n", a, grau,
c);
printf("%.0f | %.0f 0 0 | %.0f\n", x, a, c);
printf(" | %.0f %.0f %.0f | %.0f\n\n", a, (a * x) + 0,
(((a * x) + 0) * x) + 0, (((((((a * x) + 0) * x) + 0)
* x) + b) + c));
if ((a * x) + b < 0) {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, x);
} else {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, -x);
}
} else {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, x);
} else {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, -x);
}
}
printf("\n");
}
if (grau == 4 && grauseg == 1) {
if (b < 0)
printf("Completando: %.0fx%.0f+0x3+0x2%.0fx%.0f+%.0f\n\n",
a, grau, b, grauseg, c);
else
printf("Completando: %.0fx%.0f+0x3+0x2+%.0fx%.0f+%.0f\n\n",
a, grau, b, grauseg, c);
printf("%.0f | %.0f 0 0 %.0f | %.0f\n", x, a, b, c);
printf(" | %.0f %.0f %.0f %.0f | %.0f\n\n", a, (a * x)
+ 0, (((a * x) + 0) * x) + 0,
(((((a * x) + 0) * x) + 0) * x) + b, (((((((a * x) + 0)
* x) + 0) * x) + b) * x) + c);
if ((a * x) + b < 0) {
if (x >= 0) {
printf(
"Resultado: (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, (((((a * x) + 0) * x) + 0) * x)
+ b, x);
} else {
printf(
"Resultado: (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x+%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, (((((a * x) + 0) * x) + 0) * x)
+ b, -x);
}
} else {
if (x >= 0) {
printf(
"Resultado: (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x-%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, (((((a * x) + 0) * x) + 0) * x)
+ b, x);
} else {
printf(
"Resultado: (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x+%.0f)\n",
a, grau - 1, (a * x) + 0, (((a * x) + 0) * x)
+ 0, (((((a * x) + 0) * x) + 0) * x)
+ b, -x);
}
}
printf("\n");
}
if (b2 < 0)
printf("Denominador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
else
printf("Denominador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a2, grau2,
b2, grau2seg, c2);
printf("**(x-a)**\n\n");
if (x >= 0) {
printf("O Denominador sera dividido por: (x-%.0f)\n\n", x);
} else
printf("O Denominador sera dividido por: (x+%.0f)\n\n", -x);
if (grau2 == 2 && grau2seg == 1) {
printf("%.0f | %.0f %.0f | %.0f\n", x, a2, b2, c2);
printf(" | %.0f %.0f | %.0f\n\n", a2, (a2 * x) + b2, ((((a2
* x) + b2) * x) + c2));
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("Resultado: (x%.0f)*(x-%.0f)\n",
((a2 * x) + b2), x);
} else {
printf("Resultado: (x%.0f)*(x-%.0f)\n",
((a2 * x) + b2), -x);
}
} else {
if (x >= 0) {
printf("Resultado: (x+%.0f)*(x-%.0f)\n",
((a2 * x) + b2), x);
} else {
printf("Resultado: (x+%.0f)*(x-%.0f)\n",
((a2 * x) + b2), -x);
}
}
printf("\n");
}
if (grau2 == 3 && grau2seg == 2) {
if (b2 < 0)
printf("Completando: %.0fx%.0f%.0fx%.0f+0x1+%.0f\n\n", a2,
grau2, b2, grau2seg, c2);
else
printf("Completando: %.0fx%.0f+%.0fx%.0f+0x1+%.0f\n\n", a2,
grau2, b2, grau2seg, c2);
printf("%.0f | %.0f %.0f 0 | %.0f\n", x, a2, b2, c2);
printf(" | %.0f %.0f %.0f | %.0f\n\n", a2, (a2 * x) + b2,
(((a2 * x) + b2) * x) + 0, (((((a2 * x) + b2) * x) + 0)
* x) + c2);
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2)
* x) + 0, x);
} else {
printf("Resultado: (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",
a2, grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2)
* x) + 0, -x);
}
} else {
if (x >= 0) {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",
a2, grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2)
* x) + 0, x);
} else {
printf("Resultado: (%.0fx%.0f+%.0fx+%.0f)*(x+%.0f)\n",
a2, grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2)
* x) + 0, -x);
}
}
printf("\n");
}
if (grau2 == 3 && grau2seg == 2 && grau == 4 && grauseg == 1) {
printf("** Nova Divisao **\n\n");
if ((a * x) + b < 0) {
if (x >= 0) {
printf(" (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
(((((a * x) + 0) * x) + 0) * x) + b, x);
} else {
printf(" (%.0fx%.0f%.0fx2%.0fx+%.0f)*(x+%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
(((((a * x) + 0) * x) + 0) * x) + b, -x);
}
} else {
if (x >= 0) {
printf(" (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
(((((a * x) + 0) * x) + 0) * x) + b, x);
} else {
printf(" (%.0fx%.0f+%.0fx2%.0fx+%.0f)*(x+%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
(((((a * x) + 0) * x) + 0) * x) + b, -x);
}
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2) * x)
+ 0, x);
} else {
printf("x->%.0f (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2) * x)
+ 0, -x);
}
} else {
if (x >= 0) {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2) * x)
+ 0, x);
} else {
printf("x->%.0f (%.0fx%.0f+%.0fx+%.0f)*(x+%.0f)\n",x, a2,
grau2 - 1, (a2 * x) + b2, (((a2 * x) + b2) * x)
+ 0, -x);
}
}
printf("\n");
if (((((a * x) + 0) * x) + 0) < 0) {
if ((a * x) + b < 0) {
printf(
" (%.0f(%.0f)%.0f%.0f(%.0f)2%.0f(%.0f)+%.0f)\n",
a, x, grau - 1, (a * x) + 0, x, (((a * x) + 0)
* x) + 0, x, (((((a * x) + 0) * x) + 0)
* x) + b);
} else {
printf(
" (%.0f(%.0f)%.0f+%.0f(%.0f)2%.0f(%.0f)+%.0f)\n",
a, x, grau - 1, (a * x) + 0, x, (((a * x) + 0)
* x) + 0, x, (((((a * x) + 0) * x) + 0)
* x) + b);
}
} else {
if ((a * x) + b < 0) {
printf(
" (%.0f(%.0f)%.0f%.0f(%.0f)2+%.0f(%.0f)+%.0f)\n",
a, x, grau - 1, (a * x) + 0, x, (((a * x) + 0)
* x) + 0, x, (((((a * x) + 0) * x) + 0)
* x) + b);
} else {
printf(
" (%.0f(%.0f)%.0f+%.0f(%.0f)2+%.0f(%.0f)+%.0f)\n",
a, x, grau - 1, (a * x) + 0, x, (((a * x) + 0)
* x) + 0, x, (((((a * x) + 0) * x) + 0)
* x) + b);
}
}
printf(" = ----------------------\n");
if ((a2 * x) + b2 < 0) {
printf(" (%.0f(%.0f)%.0f%.0f(%.0f)+%.0f)\n", a2, x,
grau2 - 1, (a2 * x) + b2, x, (((a2 * x) + b2) * x)
+ 0);
} else {
printf(" (%.0f(%.0f)%.0f+%.0f(%.0f)+%.0f)\n", a2, x,
grau2 - 1, (a2 * x) + b2, x, (((a2 * x) + b2) * x)
+ 0);

} printf("\n");
num = a2 * pow(x, grau2 - 1) + ((a2 * x) + b2) * pow(x,
grau2seg - 1) + ((((a2 * x) + b2) * x) + 0);
den = (a * pow(x, grau - 1)) + (((a * x) + 0)
* pow(x, grau - 2)) + (((((a * x) + 0) * x) + 0) * pow(
x, grauseg)) + ((((((a * x) + 0) * x) + 0) * x) + b);
num2 = num;
den2 = den;
}
if (grau2 == 2 && grau2seg == 1 && grau == 3 && b == 0) {
printf("** Nova Divisao **\n\n");
if ((a * x) + b < 0) {
if (x >= 0) {
printf(" (%.0fx%.0f%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
x);
} else {
printf(" (%.0fx%.0f%.0fx+%.0f)*(x+%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
-x);
}
} else {
if (x >= 0) {
printf(" (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
x);
} else {
printf(" (%.0fx%.0f+%.0fx+%.0f)*(x-%.0f)\n", a,
grau - 1, (a * x) + 0, (((a * x) + 0) * x) + 0,
-x);
}
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
if (x >= 0) {
printf("x->%.0f (x%.0f)*(x-%.0f)\n",x, ((a2 * x) + b2), x);
} else {
printf("x->%.0f (x%.0f)*(x-%.0f)\n",x, ((a2 * x) + b2), -x);
}
} else {
if (x >= 0) {
printf("x->%.0f (x+%.0f)*(x-%.0f)\n",x, ((a2 * x) + b2), x);
} else {
printf("x->%.0f (x+%.0f)*(x-%.0f)\n",x, ((a2 * x) + b2), -x);
}
}
printf("\n");
if ((a * x) + b < 0) {
printf(" (%.0fx%.0f+%.0fx+%.0f)\n", a, grau - 1, (a
* x) + 0, (((a * x) + 0) * x) + 0);
} else {
printf(" (%.0fx%.0f+%.0fx+%.0f)\n", a, grau - 1, (a
* x) + 0, (((a * x) + 0) * x) + 0);
}
printf("lim = ----------------------\n");
if ((a2 * x) + b2 < 0) {
printf("x->%.0f (x%.0f)\n",x, ((a2 * x) + b2));
} else {
printf("x->%.0f (x+%.0f)\n",x, ((a2 * x) + b2));
}
printf("\n");
num = a2 * pow(x, grau2 - 1) + ((a2 * x) + b2);
den = a * pow(x, grau - 1) + (((a * x) + 0) * x) + (((a * x)
+ 0) * x) + 0;
num2 = num;
den2 = den;
}
if (num2 % 2 == 0 && den2 % 2 == 0) {
printf("Resultado Final: \n\n");
printf(" %.0f\n", den / 2);
printf("= --\n");
printf(" %.0f\n", num / 2);
} else if (num2 % 3 == 0 && den2 % 3 == 0) {
printf("Resultado Final: \n\n");
printf(" %.0f\n", den / 3);
printf("= --\n");
printf(" %.0f\n", num / 3);
} else {
printf("Resultado Final: \n\n");
printf(" %.0f\n", den);
printf("= --\n");
printf(" %.0f\n", num);
}
}
if (num == 0 && den == 0) {
printf("Indeterminacao Matematica Novamente!\n\n");
cont++;
if (cont == 2) {
printf("\n");
printf("** Erro ao calcular o limite! **\n\n");
briot = 0;
}
} else
briot = 0;
}
printf("\n");
}

void limiterac() {
//Limites racionais
printf("\n");
printf("** Numerador **\n\n");
printf("Digite o maior grau de x do numerador: ");
fflush(stdin);
scanf("%f", &grau);
printf("Digite o menor grau de x do numerador: ");
fflush(stdin);
scanf("%f", &grauseg);
if (grau == 1) {
printf("\n");
printf("** y=ax+b **\n\n");
} else {
printf("\n");
printf("** y=ax%.0f+bx%.0f+c **\n\n", grau, grauseg);
}
printf("Digite o valor de a do numerador: ");
fflush(stdin);
scanf("%f", &a);
printf("Digite o valor de b do numerador: ");
fflush(stdin);
scanf("%f", &b);
printf("Digite o valor de c do numerador: ");
fflush(stdin);
scanf("%f", &c);
printf("\n");
if (b < 0)
printf("Numerador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a, grau, b, grauseg, c);
else
printf("Numerador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a, grau, b, grauseg,
c);
printf("** Denominador **\n\n");
printf("Digite o maior grau de x do denominador: ");
fflush(stdin);
scanf("%f", &grau2);
printf("Digite o menor grau de x do denominador: ");
fflush(stdin);
scanf("%f", &grau2seg);
if (grau2 == 1) {
printf("\n");
printf("** y=ax+b **\n\n");
} else {
printf("\n");
printf("** y=ax%.0f+bx+c **\n\n", grau2);
}
printf("Digite o valor de a do denominador: ");
fflush(stdin);
scanf("%f", &a2);
printf("Digite o valor de b do denominador: ");
fflush(stdin);
scanf("%f", &b2);
printf("Digite o valor de c do denominador: ");
fflush(stdin);
scanf("%f", &c2);
printf("\n");
if (b2 < 0)
printf("Denominador: %.0fx%.0f%.0fx%.0f+%.0f\n\n", a2, grau2, b2,
grau2seg, c2);
else
printf("Denominador: %.0fx%.0f+%.0fx%.0f+%.0f\n\n", a2, grau2, b2,
grau2seg, c2);
printf("Digite o valor a qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
printf("\n");
if (b < 0)
printf(" %.0fx%.0f%.0fx%.0f+%.0f\n", a, grau, b, grauseg, c);
else
printf(" %.0fx%.0f+%.0fx%.0f+%.0f\n", a, grau, b, grauseg, c);
printf("lim = -----------\n");
if (b2 < 0)
printf("x->%.0f %.0fx%.0f%.0fx%.0f+%.0f\n\n",x, a2, grau2, b2, grau2seg, c2);
else
printf("x->%.0f %.0fx%.0f+%.0fx%.0f+%.0f\n\n",x, a2, grau2, b2, grau2seg, c2);
num = a * pow(x, grau) + b * pow(x, grauseg) + c;
den = a2 * pow(x, grau2) + b2 * pow(x, grau2seg) + c2;
if (den != 0) {
if (num2 % 2 == 0 && den2 % 2 == 0) {
printf("Resultado Final: \n\n");
printf("%.0f\n", num / 2);
printf("--\n");
printf("%.0f\n", den / 2);
printf("\n");
} else if (num2 % 3 == 0 && den2 % 3 == 0) {
printf("Resultado Final: \n\n");
printf("%.0f\n", num / 3);
printf("--\n");
printf("%.0f\n", den / 3);
printf("\n");
} else {
printf("Resultado Final: \n\n");
printf("%.0f\n", num);
printf("--\n");
printf("%.0f\n", den);
printf("\n");
}
} else if (num2 == 0 && den2 == 0) {
printf(
"O valor do limite quando x tender a %.0f na funcao e: %.0f/%.0f\n\n",
x, num, den);
printf("Indeterminacao Matematica!\n\n");
printf(
"Executando calculo do limite atraves da teoria de Briot-Ruffini...\n");
br();
} else
printf("O valor do limite quando x tender a %.0f na funcao e: 0\n\n", x);
}
void limiteirac() {
//Limite para funcoes irracionais
printf("\n");
printf(" ___\n");
printf("** y = _/x+b **\n\n");
printf("** Condicao de Existencia **\n");
printf("** x+b != 0 **\n\n");
x = 0;
b = 0;
while (x + b == 0) {
printf("Digite o valor de b: ");
fflush(stdin);
scanf("%f", &b);
printf("Digite o valor � qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
if (x + b == 0) {
printf("\n");
printf("Fora da condicao de existencia!\n\n");
}
}
if (b >= 0) {
printf(" ___\n");
printf("** y = _/%.0f+%.0f **\n\n", x, b);
} else {
printf(" ___\n");
printf("** y = _/%.0f%.0f **\n\n", x, b);
}
printf(" __\n");
printf("** y = _/%.0f **\n\n", x + b);
printf("O valor do limite quando x tender a %.0f na fun��o e: %.0f\n\n", x,
sqrt(x + b));
}

void limiteexp() {
//Limite para funcoes exponenciais
printf("\n");
printf(" x+b\n");
printf("** y = a **\n\n");
printf("** Condicao de Existencia **\n\n");
printf("** 0< a != 1 **\n\n");
a = 0;
while (a == 0 || a == 1) {
printf("Digite o valor de a: ");
fflush(stdin);
scanf("%f", &a);
if (a == 0 || a == 1) {
printf("\n");
printf("Fora da condicao de existencia!\n\n");
}
}
printf("Digite o valor de b: ");
fflush(stdin);
scanf("%f", &b);
printf("Digite o valor � qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
printf("\n");
printf(" %.0f+%.0f\n", x, b);
printf("** y = %.0f **\n\n", a);
printf(" %.0f\n", x + b);
printf(
"O valor do limite quando x tender a %.0f na fun��o y = %.0f e: %.0f\n\n",
x, a, pow(a, x + b));
}

void limitelog() {
//Limite para funcoes logaritmicas
printf("\n");
printf("** y = log (x+b) **\n");
printf(" a\n\n");
printf("** Condicao de Existencia **\n\n");
printf("** 0 < a != 1 **\n");
printf("** x+b > 0 **\n");
printf("** y e |R **\n\n");
a = 0;
while (a == 0 || a == 1) {
printf("Digite no valor de a: ");
fflush(stdin);
scanf("%f", &a);
if (a == 0 || a == 1) {
printf("\n");
printf("Fora da condicao de existencia!\n\n");
}
}
b = 0;
x = 0;
while (x + b <= 0) {
printf("Digite o valor de b: ");
fflush(stdin);
scanf("%f", &b);
printf("Digite o valor � qual x ira tender: ");
fflush(stdin);
scanf("%f", &x);
if (x + b <= 0) {
printf("\n");
printf("Fora da condicao de existencia!\n\n");
}
}
if (b >= 0) {
printf("\n");
printf("** y = log(%.0f+%.0f) **\n", x, b);
printf(" %.0f\n\n", a);
} else {
printf("\n");
printf("** y = log(%.0f%.0f) **\n", x, b);
printf(" %.0f\n\n", a);
}
printf("** y = log %.0f **\n", x + b);
printf(" %.0f\n\n", a);
printf(" y\n");
printf("** %.0f = %.0f **\n\n", a, x + b);
int z = x + b, cont = 0, cont2 = 0, z2 = a, cont3 = 0, cont4 = 0, r;
r = (z / 2);
if (r % 2 == 0) {
while (z % 2 == 0) {
z = z / 2;
cont++;
}
}
r = (z / 3);
if (r % 3 == 0) {
while (z % 3 == 0) {
z = z / 3;
cont2++;
}
}
r = (z2 / 2);
if (r % 2 == 0) {
while (z2 % 2 == 0) {
z2 = z2 / 2;
cont3++;
}
}
r = (z2 / 3);
if (r % 3 == 0) {
while (z2 % 3 == 0)
z2 = z2 / 3;
cont4++;
}
}
if (cont > 0) {
printf(" y %d\n", cont);
printf("** %.0f = %d **\n\n", a, z * 2);
if (a == z * 2)
printf("** y = %d **\n\n", cont);
} else if (cont > 0 && cont2 > 0) {
printf(" y %d\n", cont2);
printf("** %.0f = %d **\n\n", a, z * 3);
if (a == z * 3)
printf("** y = %d **\n\n", cont2);
}
if (cont > 0 && cont3 > 0) {
printf(" %dy %d\n", cont3, cont);
printf("** %d = %d **\n\n", z2 * 2, z * 2);
if (z2 * 2 == z * 2) {
printf("** %dy = %d **\n\n", cont3, cont);
printf("** y = %d/%d **\n", cont, cont3);
}
} else if (cont2 > 0 && cont4 > 0) {
printf(" %dy %d\n", cont4, cont);
printf("** %d = %d **\n\n", z2 * 2, z * 2);
if (z2 * 2 == z * 2) {
printf("** %dy = %d **\n\n", cont4, cont);
printf("** y = %d/%d **\n", cont, cont4);
}
} else if (cont > 0 && cont4 > 0) {
printf(" %dy %d\n", cont4, cont);
printf("** %d = %d **\n\n", z2 * 2, z * 2);
if (z2 * 2 == z * 2) {
printf("** %dy = %d **\n\n", cont4, cont);
printf("** y = %d/%d **\n", cont, cont4);
}
}
}
char sair() {
char resp;
printf("Deseja calcular outro limite? s ou n: ");
fflush(stdin);
scanf("%c", &resp);
printf("\n");
return (resp);
}

int main() {
setbuf(stdout, NULL);
int tip;
printf("** Calculadora de Limites **\n\n");
do {
printf("Digite o Tipo de funcao envolvida: ");
printf("\n\n");
printf(
" 1 - Primeiro Grau\n 2 - Quadratica ou Superior\n 3 - Racional\n 4 - Irracional\n 5 - Exponencial\n 6 - Logaritmica\n\n");
tip = 0;
while (tip != 1 && tip != 2 && tip != 3 && tip != 4 && tip != 5 && tip
!= 6) {
printf("Opcao: ");
fflush(stdin);
scanf("%d", &tip);
if (tip != 1 && tip != 2 && tip != 3 && tip != 4 && tip != 5 && tip
!= 6)
printf("Tipo incorreto, digite de novo.\n\n");
}
if (tip == 1) {
limite1();
} else if (tip == 2) {
limiteinf();
} else if (tip == 3) {
limiterac();
} else if (tip == 4) {
limiteirac();
} else if (tip == 5) {
limiteexp();
} else if (tip == 6) {
limitelog();
}
} while (sair() == 's');
printf("\n");
printf("Voce saiu do programa.");

return 0;
}