Write a program to find the sum of the following series 1 - X1/1! + X2/2! - ... Xn/n!

Dr. A.P.J. Abdul Kalam Technical University, Lucknow

KCS151 / KCS251 Programming for Problem Solving - Using C Language

Lab Exercises

10. Write a program to find the sum of the following series 1-X¹/1!+X²/2!- ... Xⁿ/n!

/*

 File: Prgrm10.c

 Author: Aditya Saini

 Date: Jan 16, 2021

 Description: Program to find the sum of the following series 1 - X¹/1! + X²/2! - ... Xⁿ/n!

*/

#include <stdio.h>

#include <math.h>

int main (void)

{

     int n;

     int x;

     double fact;

     double  sum;

     int i, j;

     //Input number of terms & x

     printf ("Input number of terms: ");

     scanf ("%d", &n);

     printf ("Input x: ");

     scanf ("%d", &x);

     //Calculate the sum of series

     sum = 1;

     fact = 1;

     for (i = 1; i <= n; i++)

     {

          fact = 1;

          for (j = 1; j <= i; j++)

               fact = fact * j;

          sum = sum + pow (-x, i) / fact;

     }

     //Print result

     printf ("Sum of Series: %.2lf", sum);

     return 0;

};

Output

Input number of terms: 4

Input x: 3

Sum of Series: 1.38