This will be coded in JAVA. Please create a function for each part (a, b, c) to solve for the problem. DO NOT CREATE or USE any available math classes except for maybe the SCANNER class input.

Problem 4 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.

e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ...

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.

e^x = 1 + x/1! + x²/2! + x³/3! + x⁴/4! + ...