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Math Help - f' and f'' interval of convergence

  1. #1
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    f' and f'' interval of convergence

    Given f(x) = (x^n)/(n)^2, find the interval of convergence of f' and f''.

    What I got: after doing the ratio test for the original series, I found out that R = 1 and the interval of convergence is [-1, 1]. And I know that for f' and f'', the R value is the same and the interval of convergence is also the same, except that we've to check the endpoints. But what I don't get is how do I find the IOC for f' and f''. Do I have to use the ratio test again?
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  2. #2
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    Quote Originally Posted by Taurus3 View Post
    Given f(x) = (x^n)/(n)^2, find the interval of convergence of f' and f''.
    [snip]
    Is there meant to be a summation sign somewhere?
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  3. #3
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    oh sorry! Yes, as n goes from 1 to infinity.
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