The factorial of a nonnegative integer n is written 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 a program that reads a nonnegative 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! +
c) Write a program that computes the value of by using the formula
e^x = 1 + x/1! + x^2/2! + x^3/3! +