- #1
linda300
- 61
- 3
Hey guys,
I've been trying to work out this question,
http://img189.imageshack.us/img189/2954/asdagp.jpg
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-xo)^n = Ʃa (-x-xo)^n = Ʃ(-1)^n a (x+xo)^n
So how does that make the powers only even? Is there somthing crusial that I am missing?
Thanks
I've been trying to work out this question,
http://img189.imageshack.us/img189/2954/asdagp.jpg
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-xo)^n = Ʃa (-x-xo)^n = Ʃ(-1)^n a (x+xo)^n
So how does that make the powers only even? Is there somthing crusial that I am missing?
Thanks
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