Answer to Question #74793 in C++ for Dillon Morris

Question

a. The sum of a series can be computed as sum=x+x^2/2+x^3/3+x^4/4+x^5/5+⋯ ∞<x<∞ stopping when either n terms have been added or when the magnitude of a term in the series is less than 10-6, whichever comes first.
You are required to write a function, sumSeries, which given x, n returns the sum of the series. Use #include <cmath> and the abs function. Do not use the pow function.

Answer 1

#include <cmath>
double sumSeries(double x, int n)
{
double sum = 0;
double nominator = 1;
for (int i = 1; i <= n; ++i)
{
nominator *= x;
double element = nominator/i;
sum += element;
if (std::abs(element) < 0.00001)
break;
}
return sum;
}