C PROGRAMMING LANGUAGE **Please provide comments. **you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value. Question 4) For any integer n> 0, n! is defined as the product n * n – 1 * n – 2 .. * 2 * 1! isdefined to be 1. It is sometimes useful to have a closed-form definition instead; for this purpose,an approximation can be used. R.W. Gosper proposed the following such approximationformula:n! z n"e-n2n +Create a program that prompts the user to enter an integer n, uses Gosper's formula toapproximate n!, and then displays the result. The message displaying the result should looksomething like this:Enter a value for5! equals approximately 119.970035For this problem, define a user defined function that performs the calculation. The user definedfunction takes one argument of type int and will return the result of the computation of typedouble to display. Name the user defined function FactorialApprox. Define a constantmacro called PI and set it to 3.14159265

C PROGRAMMING LANGUAGE **Please provide comments. **you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value.

C PROGRAMMING LANGUAGE Please provide comments. you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 21PE

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Question

C PROGRAMMING LANGUAGE

**Please provide comments.

**you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value.

Question 4) For any integer n> 0, n! is defined as the product n * n – 1 * n – 2 .. * 2 * 1! is
defined to be 1. It is sometimes useful to have a closed-form definition instead; for this purpose,
an approximation can be used. R.W. Gosper proposed the following such approximation
formula:
n! z n"e-n
2n +
Create a program that prompts the user to enter an integer n, uses Gosper's formula to
approximate n!, and then displays the result. The message displaying the result should look
something like this:
Enter a value for
5! equals approximately 119.97003
5
For this problem, define a user defined function that performs the calculation. The user defined
function takes one argument of type int and will return the result of the computation of type
double to display. Name the user defined function FactorialApprox. Define a constant
macro called PI and set it to 3.14159265

Process by which instructions are given to a computer, software program, or application using code.

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