Taylor Expansion

  • Thread starter phalanx123
  • Start date
30
0
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?
 

Galileo

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You can take the Taylor expansions of 1/(1-x) and ln(1+x) and multiply those. Gather coefficients etc.
 

Hurkyl

Staff Emeritus
Science Advisor
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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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