coreyprob.py

from __future__ import division
import math

# user input fr number of levels to go down
nmlevels = int(raw_input("Enter number of levels: "))
# number of levels program is currently on
currentlevel = 0
#define e at level 0
e = 0

# while loop that allows it to continue adding
# for every level
while nmlevels >= currentlevel:
    e=e+(1/math.factorial(currentlevel))

    # make the while loop end eventually
    currentlevel=currentlevel+1    

# print the fianl result
print "Your approximation of e to %s levels is: %s" % (nmlevels, e)