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Taylor Expansion

  1. Dec 24, 2006 #1
    Hi I wonder if there is a simpler way to obtain the first three non-zero terms of Taylor Expansion for the function [tex]\frac{Ln(1+x)}{1-x}[/tex] about x=0?

    I differentiated it directly, but it was such a nightmare to do:mad: . So I am wondering if there is a simpler way to do it?
  2. jcsd
  3. Dec 24, 2006 #2


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    You can take the Taylor expansions of 1/(1-x) and ln(1+x) and multiply those. Gather coefficients etc.
  4. Dec 24, 2006 #3


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    Or, you could compute the Taylor series for Ln(1+x), and then divide by 1-x.
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