- #1

- 61

- 3

Hey guys,

I've been trying to work out this question,

http://img189.imageshack.us/img189/2954/asdagp.jpg [Broken]

so the identity theorm is just that if the power series = 0 then the coefficient of the series must be zero.

Im having trouble seeing how that negative has any influence over the n in the x^n term, to make the x's in powers of either odd or even.

If you have f(-x) = f(x) then the series would be like

Ʃa (x-x

So how does that make the powers only even? Is there somthing crusial that im missing?

Thanks

I've been trying to work out this question,

http://img189.imageshack.us/img189/2954/asdagp.jpg [Broken]

so the identity theorm is just that if the power series = 0 then the coefficient of the series must be zero.

Im having trouble seeing how that negative has any influence over the n in the x^n term, to make the x's in powers of either odd or even.

If you have f(-x) = f(x) then the series would be like

Ʃa (x-x

_{o})^n = Ʃa (-x-x_{o})^n = Ʃ(-1)^n a (x+x_{o})^nSo how does that make the powers only even? Is there somthing crusial that im missing?

Thanks

Last edited by a moderator: