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C++ program to get the Sum of series: 1 – x^2/2! + x^4/4! -…. upto nth term
In this tutorial, we will be discussing a program to get the sum of series 1 – x^2/2! + x^4/4! … upto nth term.
For this we will be given with the values of x and n. Our task will be to calculate the sum of the given series upto the given n terms. This can be easily done by computing the factorial and using the standard power function to calculate powers.
Example
#include <math.h> #include <stdio.h> //calculating the sum of series double calc_sum(double x, int n){ double sum = 1, term = 1, fct, j, y = 2, m; int i; for (i = 1; i < n; i++) { fct = 1; for (j = 1; j <= y; j++) { fct = fct * j; } term = term * (-1); m = term * pow(x, y) / fct; sum = sum + m; y += 2; } return sum; } int main(){ double x = 5; int n = 7; printf("%.4f", calc_sum(x, n)); return 0; }
Output
0.3469
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