What is a c plus plus program that estimates the value of the mathematical constant 'e'?

Answer 1

A C++ program that estimates the value of the mathematical constant 'e' can be implemented using the series expansion of 'e', which is given by the infinite series ( e = \sum_{n=0}^{\infty} \frac{1}{n!} ). Here's a simple example:

#include <iostream>

double estimateE(int terms) {
    double e = 1.0;
    double factorial = 1.0;
    for (int n = 1; n <= terms; ++n) {
        factorial *= n; // Calculate n!
        e += 1.0 / factorial; // Add the next term in the series
    }
    return e;
}

int main() {
    int terms = 10; // Number of terms for estimation
    std::cout << "Estimated value of e: " << estimateE(terms) << std::endl;
    return 0;
}

This program calculates 'e' using a specified number of terms in the series, improving accuracy with more terms.