(Factorial) The factorial of a nonnegative integer n is written as n! (pronounced "n f...

(Factorial) The factorial of a nonnegative integer n is written as n! (pronounced "n factorial") and is defined as follows:

n! = n • (n — 1) • (n — 2) • ... • 1 (for values of n greater than or equal to 1)

and

n! = 1 (for n = 0)

For example, 5! = 5 • 4 • 3 • 2 • 1, which is 120.

a) Write an application that reads a nonnegative integer and computes and prints its factorial.

b) 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.

c) Write an application that computes the value of e by using the following formula. Allow the user to enter the number of terms to calculate.