#!/usr/bin/env python
#
# taylor series for log(1+x)
#
import math
N=100
x=.2

sum=0.0
term=x
sgn=1
i=1
while (sum + term) != sum:
  sum+=sgn*term/i
  term*=x
  sgn*=-1
  i+=1
print sum , math.log(1+x)
print i