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Math Help - Specific Series question.

  1. #1
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    Specific Series question.

    Series from 1 of ((x-5)^(1/2)) / (2x^2-2)

    How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct.
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  2. #2
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    Quote Originally Posted by alin1916 View Post
    Series from 1 of ((x-5)^(1/2)) / (2x^2-2)

    How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct.
    What is the question? To determine if the sum converges?
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    What is the question? To determine if the sum converges?
    Yes, sorry I'm learning how to use this latex system. It's \Sigma\frac{\sqrt{n-5}}{2n^2-2}

    And yes, to determine if the sum converges or diverges, but I don't have to find the actual sum, just determine convergence.

    Thanks!
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  4. #4
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    Compare with \frac{1}{\sqrt{n^3}}.
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  5. #5
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    Quote Originally Posted by Plato View Post
    Compare with \frac{1}{\sqrt{n^3}}.
    That converges, I assumed that's Bn and the Original function was An, An>Bn and Bn converges, but it doesn't prove that An converges. Am I missing something?
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  6. #6
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    Use the limit comparison test.
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