4) The factorial of a nonnegative integer n is written n! (pronounced \"n factor

Question

 4) 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
0! = 1 and 1! = 1 by definition. 

For example, 5! = 5*4*3*2*1 = 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!) + (1/2!) + (1/3!) ...

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. 


Expected sample output: 

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)

Explanation / Answer

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.