The factorial of a positive integer n is written n! and is defined as follows: n! = n * (n-1) * (n-2) *…..* 1for values of n greater than 1 and n! = 1 for n = 0 or n = 1. a)Write a program that reads...

The factorial of a positive integer n is written n! and is defined as follows:

n! = n * (n-1) * (n-2) *…..* 1for values of n greater than 1 and n! = 1 for n = 0 or n = 1.

a)Write a program that reads a positive integer and computes and prints its factorial.

b)Write a program that estimates the value of the mathematical constant e by using the formula:

e = 1 + 1/1! + 1/2!+ 1/3! + ….

Prompt the user for the desired accuracy of e ( the number of terms in the summation).

c)Write a program that computes the value of e^xby using the formula

e^x= 1 +x / 1!+x²/ 2!+ x³/ 3!+...

Prompt the user for the desired accuracy of e ( the number of terms in the summation).