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Math Help - converge or diverge

  1. #1
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    converge or diverge

    Can someone help me with this series,

    [n^n] / [(n+1)^(n+1)]

    which test should i use?

    I've tried to n-th root test but that gives me 1, which is inconclusive, the ratio test, I can't cancel anything out, as for the other test, i dont think those can apply.

    thanks
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  2. #2
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    Try limit comparison test with 1\n, I think that should show that it diverges (just a hunch, no time to verify at the moment)
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  3. #3
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