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Thread: Taylor series: Binomial series

  1. #1
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    Taylor series: Binomial series

    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?
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  2. #2
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    Re: Taylor series: Binomial series

    Nvm, solved it
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