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Math Help - determine the convergence

  1. #1
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    determine the convergence

    Determine the convergence, both pointwise and uniform, on [1/2, 8] for the series

    \Sigma (0 to infinty) \displaystyle \frac{(-1)^nx^{2/n}}{n+x}
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  2. #2
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    Is this your series?

    \displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}?
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  3. #3
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    Quote Originally Posted by Prove It View Post
    Is this your series?

    \displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}?
    yes, thank you~
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  4. #4
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    What convergence tests have you tried? The ratio test might be a good place to start...
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