The function e can be expressed as an infinite power series as follows: 1 2 3! 4

Question

The function e can be expressed as an infinite power series as follows: 1 2 3! 4! or as a general term: ex= 1-0 Since this is an infinite series we will need to decide how far to go to achieve a desired degree of accuracy. The terms in the series get smaller and smaller so the size of the last term used to find the sum, e will be used to decide when we have reached the desired accuracy. Program requirements: Use a main program and two user-defined Function subprograms. In the main program, prompt user in enter a value, x, to use in calculating e. -In the main program, output the answer (the calculated e value) and calculate the ecx) using -Use a user-define Function to calculate a Factorial, N In the main program, prompt the user to enter a maximum value of the last term in the series (suggested value 1 x 107). VBA built-in function and output that answer also (for comparison purposes) Use a user-defined Function to calculate the exponential (e) function

Explanation / Answer

// Java efficient program to calculate e^x

import java.io.*;

class GFG

{

    // Function returns approximate value of e^x

    // using sum of first n terms of Taylor Series

    static float exponential(int n, float x)

    {

        // initialize sum of series

        float sum = 1;

  

        for (int i = n - 1; i > 0; --i )

            sum = 1 + x * sum / i;

  

        return sum;

    }

     

    // driver program

    public static void main (String[] args)

    {

        int n = 10;

        float x = 1;

        System.out.println("e^x = "+exponential(n,x));

    }

}

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.