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Math Help - Taylor series problem

  1. #1
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    Taylor series problem

    Well I was working late yesterday and missed how to do taylor series all together and there is a problem I am having troubles figuring out.

    The function f(x)=5/(x-3)

    Find the power series centered at x=6 and determine it's interval of convergence.

    I understand the concept of taking the nth derivitive till you see a pattern and develop a power series based off the pattern but what exactly am i supposed to do with where the series is centered at?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Exiab View Post
    Well I was working late yesterday and missed how to do taylor series all together and there is a problem I am having troubles figuring out.

    The function f(x)=5/(x-3)

    Find the power series centered at x=6 and determine it's interval of convergence.

    I understand the concept of taking the nth derivitive till you see a pattern and develop a power series based off the pattern but what exactly am i supposed to do with where the series is centered at?
    f(x)=\sum_{n=0}^{\infty}\frac{f^{(n)}(c)\left(x-c\right)^n}{n!}

    Is that what you are asking? C is where it is centered
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