Please answer this as short as possible and explain it

The factorial of a nonnegative integer n is written n ! (pronounced " n factorial") and is defined as follows: n!=n(n1)(n2)(n3)1 0!=1,1!=1 by definition. For example, 5!=54321=120 (a) Write a program that reads a nonnegative integer and computes and prints its factorial. Do not use scientific notation for displaying the result. (b) Write a program that estimates the value of mathematical constant e by using the formula: e=1+1!1+2!1+3!1+ Prompt the user for the desired accuracy of e, i.e. the number of terms in the summation. Use 10 digits of precision to display the result. Sample Output: (combined for a and b) Number for Factorial : 16 16!=20922789888000.000000 Desired Accuracy for "e" (number of terms in the series) : 10 e with 10 terms =2.7182815256 (with 10 digits of accuracy)