1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Galileo

    User Avatar
    Science Advisor
    Homework Helper

    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

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Or, you could compute the Taylor series for Ln(1+x), and then divide by 1-x.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Taylor Expansion
Loading...