#On the name of ALLAH and may the blessing and peace of Allah
#be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam.
#Author : Fouad Teniou
#Date : 06/07/10
#version :2.6
"""
maclaurin_expenantial is a function to compute e^x using maclaurin series
and the interval of convergence is -inf < x < + inf
e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! ...........
"""
from math import *
def maclaurin_expenantial(value, k):
"""
Compute maclaurin's series approximation for e^x
"""
first_value = 0.0
#attempt to Approximate e^x for a given value
try:
for item in xrange(k):
next_value = float(value**item)/factorial(item)
first_value += next_value
return first_value
#Raise TypeError if input is not a number
except TypeError:
print 'Please enter an integer or a float value'
if __name__ == "__main__":
maclaurin_exp1 = maclaurin_expenantial(1,100)
print maclaurin_exp1
maclaurin_exp2 = maclaurin_expenantial(3,100)
print maclaurin_exp2
maclaurin_exp3 = maclaurin_expenantial(7,100)
print maclaurin_exp3
#####################################################################
#"C:python
#urine series\
#2.71828182846
#20.0855369232
#1096.63315843
#####################################################################
