Write a program to evaluate the series sum=1-x+x^2/2!-x^3/3!+x^4/4!......-x^9/9!

 

 GTU Programming for Problem Solving Practical-28

// 28. Write a program to evaluate the series sum=1-x+x^2/2!-x^3/3!+x^4/4!......-x^9/9!

#include <stdio.h>

#include <math.h>

float fact(float a);

int main(void)

{

    float sum = 0;

    int n, x;

    printf("\nEnter the number till ypu wanted series");

    scanf("%d", &n);

    printf("\nEnter the value of x");

    scanf("%d", &x);

    printf("\n1");

    for (int i = 1; i <= n; i++)

    {

        if (i % 2 == 0)

        {

            printf(" + %d^%d/%d!", x, i, i);

        }

        else

        {

            printf(" - %d^%d/%d!", x, i, i);

        }

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

    }

    printf(" = %f", sum);

    return 0;

}

float fact(float a)

{

    float ans = 1;

    for (int i = 1; i <= a; i++)

    {

        ans = ans * i;

    }

    return ans;

}

Output:

Enter the number till ypu wanted series10

Enter the value of x2

1 - 2^1/1! + 2^2/2! - 2^3/3! + 2^4/4! - 2^5/5! + 2^6/6! - 2^7/7! + 2^8/8! - 2^9/9! + 2^10/10! = 6.388995