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Math Help - convergence

  1. #1
    Super Member dhiab's Avatar
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    convergence

    a is the real number ,Studen the convergence of the sequence :
     <br />
U_{n}=\frac{a^{n}}{n^{n}}<br />
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  2. #2
    MHF Contributor
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    U_n = \left( \frac{a}{n} \right)^n

    You said sequence, not series, so this question is about the behavior of U_n as n approaches infinity. I would start with assuming \lim_{n \rightarrow \infty} U_n = L and play around with that, most likely using logarithms.
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