Problem 45

#include <stdio.h>
#include <math.h>

double factorial(int n);
double evaluateF(double x, int n);

int main() {

//evaluate the function F(x) = x - x^3/3! + x^5/5! - x^7/7! + ... x^n/n!

printf("\tEvaluate Series");
printf("\n====================================\n\n");

double x;
int n;

printf("Enter The Value Of X : ");
scanf("%lf",&x);

printf("\nEnter The Value Of N : ");
scanf("%d",&x);

double result = evaluateF(x, n);

printf("\n------------------------------------\n\n");
printf("F(%.2lf) = %.2lf\n", x, result);
printf("\n------------------------------------\n");

return 0;
}

double factorial(int n) {
if (n == 0) {
return 1;
} else {
return n * factorial(n - 1);
}
}

double evaluateF(double x, int n) {
if (n == 0) {
return x;
} else {
return pow(x, n) / factorial(n) - evaluateF(x, n - 2);
}
}
Run