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Math Help - Testing whether series converges

  1. #1
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    Testing whether series converges

    series n^2*e^-n, from n=1 to infinity.

    I used the ratio test, and got lim n--> infinity=e, so by the ratio test the series converges. Is this correct?
    Is there a better way to do this problem?
    Sorry I couldn't figure out how to put the series notation, I'll have to figure that out.
    Thanks in advance!
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Testing whether series converges

    Indeed, the serie converges.
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  3. #3
    Super Member General's Avatar
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    Re: Testing whether series converges

    A small correction, the limit is 1/e which is < 1. Thus, the series converges (absolutely).
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