Question

Build a program to calculate the value of e ( 2.71828) raised to the power of x (the independent variable). The function is based on the series expansion shown in class. Compare your result to the predefined function exp(x) as stated in the standard file ( cmath ). Your input will be " x" and "n" where n is the number of terms in the expansion and x is an arbitrary value of your choice. Have your output display your calculated value to the cmath value.

I am using C++, show in detail.

Answer 1

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//Include the header file.

#include <bits/stdc++.h>

using namespace std;

//Define the function to compute the

//e power x

float exp_func(int n, float x)

{

//Define the variable sum;

float result_sum = 1.0f;

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

{

    //Compute the sum of the exponential series.

    result_sum = 1 + x * result_sum / i;

}

//Return the summation of the series.

return result_sum;

}

//Define the main function.

int main()

{

//Declare the variables.

int n;

float x;

//Prompt the user to enter the value of x.

cout << "Enter the value of x to raise the power: ";

cin >> x;

//Prompt the user to enter the number of terms.

cout << "Enter the number of n terms: ";

cin >> n;

//Display the resultant value of the series.

cout << "e^x = " << fixed << setprecision(5)

       << exp_func(n, x) << endl;

//Return the value for the main function.

return 0;

}