Taylor series: Binomial series

**MathCrusader** · 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?

**MathCrusader** · January 15th 2013, 05:07 AM

Nvm, solved it

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Taylor series: Binomial series

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