C program to use recursive calls to evaluate F(x) = x – x*3 / 3! + x*5 / 5 ! – x*7 / 7! + … x*n/ n!

Question

Write a C program to use recursive calls to evaluate F(x) = x – x*3 / 3! + x*5 / 5 ! – x*7 / 7! + … x*n/ n!

Answer 1

Series Solving Using Recursion

In this program we are going to evaluate sum of the series given in question above.

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Example :

#include<stdio.h> #include<conio.h> long float recursion(float n); void main() { float x,ser=0,ser1=0,i,sum=0,z,n; clrscr(); //To take x from user printf("\nEnter x:"); scanf("%f",&x); printf("\nEnter n:"); scanf("%f",&n); //To calculate positive part of series for(i=1;i<=n;i+=4) ser=ser+(x*i)/recursion(i); //To calculate negative part of series for(i=3;i<n;i+=4) ser1=ser1+(x*i)/recursion(i); //Sum of series sum=ser-ser1; //printf("%f",ser); //To print series and it's sum printf("\nSum of series = %.4f",sum); getch(); } //To calculate factorial of base value long float recursion(float n) { if (n>=1) return n*recursion(n-1); else return 1; }

Output :

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