Power series expansion

  • Thread starter yayMath
  • Start date
  • #1
6
0
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.
thanks.
 

Answers and Replies

  • #2
shmoe
Science Advisor
Homework Helper
1,992
1
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).
 
  • #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.
 

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