Our professor has taught us to find Taylor’s series by recursion using a static summation variable that accumulates the summation of each term and then multiples with itself with each iteration.

#include <stdio.h>

double t(int n,int m){

    static double a = 1.0;

    if(m==0)

        return a;

    a = 1+(double)n/m*a;

    return t(n,m-1);

}

int main(){

    printf("%lfn",t(4,1500));

}

This, yields the desired accuracy and result.

I tried to implement the code using a single return statement:

#include <stdio.h>

double e(int x, int m){

    if(m==0)

        return 1.0;

    return 1+((double)x/m)*e(x,m-1);

}

int main(){

    printf("%lfn",e(4,1500));

}

This, yields an output of 1.002674.

What is the difference between the two? What causes this code to lead this inaccuracy?