# Taylor series: Binomial series

• January 15th 2013, 03:45 AM
Use the binomial series to find the Taylor series about $x=0$ of the function
$f(x)=(9 - x^2)^{\frac 12} \, .$
Indicate for which values of $x$ 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 $1 + (8-x^2)$ but that did not get me anywhere. Any help?