Expand f(x) in powers of x, basing your calculations on the geometric series:
1/(1-x) = 1 +x+x^2+....x^n

F(x)= 1/(1-x)^2

Question

Expand f(x) in powers of x, basing your calculations on the geometric series:
1/(1-x) = 1 +x+x^2+....x^n

F(x)= 1/(1-x)^2

anonymous · Answer

This will become much easier if you know WHY the first one is correct. Multiply both sides by (1-x)|dw:1346786792393:dw|

anonymous · Answer

By the way, do you mean 1/(1+x^2) or 1/(1+2x+x^2)?

anonymous · Answer

I mean the 1/(1+2x+x^2). I just have no idea what its asking for me to do. Judging by what i know, it should just square each term in the above formula, but that doesn't seem to be the case

anonymous · Answer

*1/(1-2x+x^2)

anonymous · Answer

No- that would be the case if it was 1/(1-x^2), which I did actually know the answer to. I'll think about how to get around this one.

anonymous · Answer

i have the answer to it from the back of the book, i'm just trying to figure out how they got it

anonymous · Answer

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