I want to Taylor expand the following function:
$f(x)=\frac{1}{a-x^2}$ when $x \rightarrow \infty$.
I know the result (from Wolfram Alpha) to be $-\frac{1}{x^2} - \frac{a}{x^4} + O(\frac{1}{x^6})$
but I have no idea how to calculate it. Any help is greatly appreciated!