#!/usr/bin/env python
     # encoding: utf-8
     #
     # Copyright (c) 2010 Doug Hellmann.  All rights reserved.
     #
     """Logarithms close to zero.
     """
     #end_pymotw_header
     
     import math
     
     x = 0.0000000000000000000000001
     
     print x
     print math.exp(x) - 1
     print math.expm1(x)