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## Homework Statement

I am trying to represent the function 2x/(1+x

^{2}) as a series and determine its radius of convergence.

## Homework Equations

## The Attempt at a Solution

Using the series for ln(1-x) I have come up with the following series:

Ʃ(n=1,infinity) [2*(-1)

^{n}*x

^{2n-1}], with radius of convergence 1 (for 0<x<1).

Could someone please confirm that this is indeed the correct answer?