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

(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

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.

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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.

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