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**[SOLVED] mathematica issue**

This is from Mathematica 6.0. Is this a bug in Mathematica? Supposedly the second output is precise to 100 digits!

In[46]:= x = 0.00004

Out[46]= 0.00004

In[45]:= N[(1 + x)^(1/3) - 1 - x/3 + (x^2)/9 - 5 (x^3)/81, 100]

Out[45]= 1.18826*10^-16

In[44]:= FullSimplify[(1 + y)^(1/3) - 1 - y/3 + y^2/9 < 5 y^3/81,

Assumptions -> y > 0]

Out[44]= True

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