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 expansion

  1. Dec 7, 2004 #1
    I was wondering how to create a power series expansion for the function
    x^2 / (1+x^2).... I've tried using the geometric series, but somehow i got stuck.
  2. jcsd
  3. Dec 7, 2004 #2


    User Avatar
    Science Advisor
    Homework Helper

    Geometric series should work fine. How about you post your work?

    An alternate method: if you know the series for arctan(x), you can use the fact that it's derivative is 1/(1+x^2).
  4. Dec 8, 2004 #3
    It may also help you to think in what form geometric series are usually in, i.e.

    1/(1-r). So maybe altering your fraction a bit will help you notice it.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Power series expansion
  1. Power Series Expansion (Replies: 1)