Taylor series: Binomial series

Quote:

Use the binomial series to find the Taylor series about $\displaystyle x=0$ of the function

$\displaystyle f(x)=(9 - x^2)^{\frac 12} \, .$

Indicate for which values of $\displaystyle x$ the series converges to the function.

I am not getting anywhere with this one. I don't really know how I am supposed to turn it into a binomial series. I tried writing the argument as $\displaystyle 1 + (8-x^2)$ but that did not get me anywhere. Any help?

Re: Taylor series: Binomial series