Let n be a nonnegative integer. The factotial of n, written n! Is defined by 0!=1,n!=1x2x3...n>=1. For example,4!=1x2x3x4=24. Write a program in C++ language that prompts the user to enter a nonnegative integer and outputs the factorial of the number, then find the approximate value of the number e using the read input as n in the approximating equation below

e=2+1/2+1/3+...+1/n!, (e is a irrational number=2.718281827.. used in exponential growth and decay problems.

Run the output for at least n=100,n=50,n=200.