C++ Examples

WAP in C++ to Display Sum of Series [1+x+x^2/2!+x^3/3!+….]

The program in C++ to Display Sum of Series [1+x+x^2/2!+x^3/3!+….] is given below:



#include <iostream>
#include <cmath>
using namespace std;

int main() {
    double x;
    int n;
    double sum = 1;

    cout << "Hello Codeauri Family, enter the value of x right here: \n";
    cin >>x;
    cout << "And enter the number of terms in the series here:\n";
    cin >>n;

    for (int i = 1; i <= n; i++) {
        double num = pow(x, i);
        double denom = 1;
        for (int j = 1; j <= i; j++) {
            denom *= j;
        }
        sum += num / denom;
    }

    cout << "Well, the sum of the series [1+x+x^2/2!+x^3/3!+....] for " << n << " terms is: " << sum << endl;

    return 0;
}

Output:

Hello Codeauri Family, enter the value of x right here:
5
And enter the number of terms in the series here:
7
Well, the sum of the series [1+x+x^2/2!+x^3/3!+….] for 7 terms is: 128.619

Pro-Tips💡

This program prompts the user to enter a value for x and an integer value for n,

and then uses two nested for loops to calculate the sum of the series [1+x+x^2/2!+x^3/3!+….] for n terms.

The sum is then displayed at the end.

The program uses pow and factorial functions from <cmath> library and <iostream> for input and output.

It’s important to note that this series is the Taylor series of e^x, where e is the Euler’s number

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