# Taylor series: Binomial series

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• Jan 15th 2013, 04:45 AM
MathCrusader
Taylor series: Binomial series
Quote:

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?
• Jan 15th 2013, 06:07 AM
MathCrusader
Re: Taylor series: Binomial series
Nvm, solved it