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Here are two questions of them

Question number 1

Resolve into partial fractions

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

For what range of values of "x" can this function be expanded as a series in ascending powers of "x"? Write down the coefficients of "x^n" in this expansion.

Question number 2

Resolve into partial fractions

2/(1-2x)^2(1+4x^2)

And hence obtain the coefficients of "x^4n" and "x^4n+1" in the expansion of this function in ascending powers of "x". State the range of values of "x" for which the expansion is valid

Ok these are the two types that I want to show. Resolving to partial fractions is not a difficult task for me. But the problem here is that I can't understand the second part where they ask for coefficients of "x^n" and the range of "x" for which the expansion is valid and so on. I realy can't understrand the second part of these type of questions.

I just want to ask is there anyone who can provide me some links to learn how to solve these type of questions. I just need to get this very clear in to my mind.

So please is there anyone who can help me to learn about the second part of this question.

Thanks alot. I realy appreciate if anyone can help me.

Thanks again.

Dilan