Hi,

I was trying to find a power series for function .

I separated this into and used differentiation & integration to get

The answer says . I have no idea how this answer was derived. Can anyone explain to me how to get this answer?

Thanks!

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- Sep 3rd 2009, 03:21 PMjohn52302power series representation
Hi,

I was trying to find a power series for function .

I separated this into and used differentiation & integration to get

The answer says . I have no idea how this answer was derived. Can anyone explain to me how to get this answer?

Thanks! - Sep 3rd 2009, 03:49 PMCalculus26
For

http://www.mathhelpforum.com/math-he...18a5afe8-1.gif

Note if n is even (or 0 ) the terms add and if n is odd they cancel so you have only odd powers and all are positive - Sep 3rd 2009, 03:53 PMskeeter