Q:

# C program to find the sum of series x + x/2! + x/4! + ... + x/n!

Given the value of x and n and we have to find the sum of series x + x/2! + x/4! + ... + x/n! Using C program.

## Program to find the sum of series x + x/2! + x/4! + ... + x/n! in C

``````/*
C program to find sum of following series
* x+x/2!+x/4!+.....x/n!
*/

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

/* function : factorial, to find factorial of a given number*/
long int factorial(int n)
{
int i;
long int fact=1;

if(n==1) return fact;

for(i=n;i>=1;i--)
fact= fact * i;

return fact;
}

// main function
int main()
{
int i,N,x;
float sum;
int count=1,cnt=0;

// reade the value of x
printf("\nEnter the value of x : ");
scanf("%d",&x);

printf("Enter total number of terms: ");
scanf("%d",&N);

/*set sum by 0*/
sum=0.0f;

/*calculate sum of the series*/
for(i=1;i<=N;i++)
{
sum = sum + ( (float)(x) / (float)(factorial(count)));
count = (count*2);
//printf("\ncount : %d\n",count);	fflush(stdout);
}

/*print the sum*/
printf("Sum of the series is: %f\n",sum);

return 0;
}``````

Output

```Enter the value of x : 2
Enter total number of terms: 3
Sum of the series is: 3.083333```