Question

Write a program to calculate the value of e. Your answer must be correct to eleven decimal places. The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120. You could use the factorial function defined in the python math library. Your program should use a loop that terminates when adding the next term does not change the value

Answer 1

After testing this code you may want to remove the print statement and/or put this in a function and return e_new.

import math
e_new = 0
e_old = float("inf")
i = 0
while e_new != e_old:
e_old = e_new
e_new += 1 / float(math.factorial(i))
i += 1
print(e_new, e_old)