#!/usr/bin/env python
#
# taylor series for log(1+x)
#
import math

def myexp(x):
  if x < 0 : return 1./myexp(-x)
  sum=0.0
  term=1.0
  i=1
  while (sum + term) != sum:
    sum+=term
    term*=x/i
    i+=1
  return sum

for x in [0.0,3.0,10.0,30.0,100.0,300.0]:
  print myexp(x) , math.exp(x)
  print myexp(-x) , math.exp(-x)