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Math Help - Summation of a Series

  1. #1
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    Summation of a Series

    \sum{(n^.5)\over((n^2) + 1)}

    Limits n = 1 to infinity

    I am new to this forum so I don't know if I have written this correctly.
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  2. #2
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    It converges since {n^{1/2}\over n^2 + 1} \le {n^{1/2}\over n^2} = {1 \over n^{3/2}}. I don't know its sum though.
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  3. #3
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    Thanks for that. Just to confirm did you use the comparison test.

    It is great to have such a good site to go to where you haven't got anywhere else to go.

    Thank you for the quick reply.
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