1. Not finding help here? Sign up for a free 30min 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!

Power Series Representation of xln(1+x^2)

  1. Nov 28, 2011 #1
    Write a power series representation of xln(1+x2)

    My first instinct was to attempt to take the second derivative and then find the summation and then integrate but that approach seemed to be a dead end. Basically, the x thrown in there confuses me and you can't split the function into two separate summations since one would not converge. Any hints..?
     
  2. jcsd
  3. Nov 28, 2011 #2
    Help, anyone?
     
  4. Nov 28, 2011 #3

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I assume you are expanding around x=0. The power series expansion of x is x. What's the power series expansion of ln(1+u) around u=0? Hence what's the power series expansion of ln(1+x^2). There is no double summation to worry about.
     
  5. Nov 28, 2011 #4
    I really need to put more thought into problems before posting here. Thanks, and I figured it out.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Power Series Representation of xln(1+x^2)
  1. Taylor series for xln(x) (Replies: 13)

Loading...