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Math Help - Radius of Convergence

  1. #1
    Del
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    Radius of Convergence

    Find all the values of such that the given series would converge.


    ∑ [(−1)^n*x^n] / [5^n*(n^2+8)]
    n=1

    I need this in interval notation, please help!
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  2. #2
    Flow Master
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    Quote Originally Posted by Del View Post
    Find all the values of such that the given series would converge.


    ∑ [(−1)^n*x^n] / [5^n*(n^2+8)]
    n=1

    I need this in interval notation, please help!
    Where are you stuck? What have you tried?
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  3. #3
    Del
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    I don't even know where to start.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Del View Post
    I don't even know where to start.
    apply the ratio test, or the root test, if you can handle it. then solve for what x needs to be

    can you continue?
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