Question

C++ please! Write a recursive function to compute the sum of the Taylor series.

use double taylor(int a, int n)

Answer 1

Here is your code -

#include <stdio.h>

// Recursive Function with static

// variables p and f

double taylor(int a, int n)

{

static double taylor p = 1, f = 1;

double r;

if (n == 0)

return 1;

r = taylor(a, n - 1);

p = p * a;

// Factorial

f = f * n;

return (r + p / f);
}

// Driver code
int main()
{
   int a = 4, n = 5;
   printf("%lf \n", taylor(a, n));

   return 0;
}

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If you feel your purpose is not solved, go with this code. Although both are 100% working code. PLEASE DO GIVE A 'LIKE' ON MY POST. THANKS! DO COMMENT DOWN, IF YOU NEED ANY EXPLANATION OR ANY HELP REGARDING THIS QUESTION!

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

int main()
{
  
int x,i;
int fact = 1,n;
float sum=0;

cout<<"Enter the value of x in the series :";
cin>>x;

cout<<"Enter the number of terms in the series :";
cin>>n;

for(i=1;i<n;i++)
{
fact = fact*i;
sum = sum + (pow(x,i)/fact) ;

}
sum= sum +1; //Since series starts with 1

cout<<"The sum of the taylor series is :"<<sum;
return 0;
}