Question

hi I am new to Java and I am stuck on this program I have to write an application that estimates the value of the mathematical constant e by using the following formula. Allow the user to enter the number of terms to calculate.

e = 1 + 1/1! * 1/2! + 1/3! + ....

Thank you

Answer 1

Program

import java.util.Scanner;
public class Main {
    public static void main(String args[])
    {
        double e = 1;
        Scanner input = new Scanner(System.in);
        System.out.print("Enter the number of terms to calculate: ");
        int n = input.nextInt();
        for(int x = 1; x <n; x++)
            e = e + 1/(double)factorial(x);
        System.out.println("Value of e: "+ e);
     
    }

    public static double factorial(int n)
    {
        int fact = 1;
        for (int i=2; i<=n; i++)
            fact *= i;
        return fact;
    }
}

Output

Enter the number of terms to calculate: 10
Value of e: 2.7182815255731922