- #1
Dixanadu
- 254
- 2
Hey guys.
So I need to know how to Binomial expand the following function
[itex]\frac{1}{(1-x^{2})}[/itex].
I need this because I have to work out [itex]\prod^{∞}_{i=1}[/itex][itex]\frac{1}{(1-x^{i})}[/itex] for i up to 6. But I have to do it with Binomial expansion. If i can learn how to do [itex]\frac{1}{(1-x^{2})}[/itex] then the rest of the powers should be the same.
I was under the impression that [itex]\frac{1}{(1-x^{2})}[/itex] can be binomial expanded as
[itex]1+(-1)(-x^{2})+(-1)(-2)\frac{(-x^{2})^{2}}{2!}+(-1)(-2)(-3)\frac{(-x^{2})^{3}}{3!}+...[/itex]
Is that correct?
Thanks guys!
So I need to know how to Binomial expand the following function
[itex]\frac{1}{(1-x^{2})}[/itex].
I need this because I have to work out [itex]\prod^{∞}_{i=1}[/itex][itex]\frac{1}{(1-x^{i})}[/itex] for i up to 6. But I have to do it with Binomial expansion. If i can learn how to do [itex]\frac{1}{(1-x^{2})}[/itex] then the rest of the powers should be the same.
I was under the impression that [itex]\frac{1}{(1-x^{2})}[/itex] can be binomial expanded as
[itex]1+(-1)(-x^{2})+(-1)(-2)\frac{(-x^{2})^{2}}{2!}+(-1)(-2)(-3)\frac{(-x^{2})^{3}}{3!}+...[/itex]
Is that correct?
Thanks guys!