C Program to Implement Taylor Series [Sum of Cos Series,Sine Series,e^x]

This is the c program to implement taylor series
it finds the sum of cos series,sine series and e^x
A Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function’s derivatives at a single point.

[cc lang=”c”]
#include
#include
int n,x;
main()
{
printf(“Enter the Value for ‘X’ and ‘N’ and Upper Limitn”);
scanf(“%d %d “,&x,&n);
findex();
findsinx();
findcosx();
}

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

int findex()
{
double sum=0,ex,numr,denr;
int i;
for(i=0;i<=n;i++) { numr=pow(x,i); denr=fact(i); if(denr==0) ex=0; else { ex=numr/denr; } sum+=ex; } printf("ne^x = %lf t %lf n",sum,denr,numr,ex); } int numpow() { if(n%2==0) { return (1); } else return (-1); } findsinx() { double numr,den,nr,dr,sinx,sum=0; int i; for(i=0;i<=n;i++) { numr=numpow(i); den=1+2*i; nr=numr*pow(x,den); dr=fact(i); if (dr==0) sinx=0; else { sinx=nr/dr; } } printf("nSinX = %lf n",nr,dr,sinx); } findcosx() { double cosx,nr,dr,den,numr,sum=0; numr=numpow(n); den=2*n; dr=fact(den); nr=numr*(pow(x,den)); cosx=nr/dr; printf("nCosX=%lfn",cosx); } [/cc]