Can someone please help me. I am studying from what is possibly the worst written book... I do not even know how to start the problem...

Problem:

Let

$\displaystyle f(y, \epsilon) = \frac{1}{(1+\epsilon y)^{\frac{3}{2}}}, y=y_{0}+\epsilon y_{1} +\epsilon^{2} y_{2}+...$

Expand f in powers of $\displaystyle \epsilon$ up to $\displaystyle O(\epsilon^{2})$

I know I let $\displaystyle f(y, \epsilon) =0$

I know I need to find

$\displaystyle O(1), O(\epsilon), O(\epsilon^{2}) $

The problem is that the examples to do this are only for very simple algebraic problems. Any help would be greatly appreciated...