Question: The factorial of a nonnegative integer n is written as n! (pronounced n factorial) and is defined for values of n greater than or equal

The factorial of a nonnegative integer n is written as n! (pronounced “n factorial”) and is defined for values of n greater than or equal to 1 as:

n! = n · (n – 1) · (n – 2) · … · 1 and for the n value 0 as:

n! = 1 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.

e = 1 + 1 1 + 1!2! + 1 3!

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

e* = 1 + ++ 2 + 3! +.

e = 1 + 1 1 + 1!2! + 1 3!

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