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Thread: absolute convergence

  1. April 8th 2009, 05:36 AM #1
    calculushelptx
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    absolute convergence

    does the series from 1 to infinity of ((-1)^(n+1) * n^n) / (n!)
    converge absolutely or not?
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  2. April 8th 2009, 06:08 AM #2
    chisigma
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    Is...

    \frac{n^{n}}{n!}= n\cdot \frac{n}{2}\cdot \frac{n}{3}\dots \frac{n}{n-2}\cdot \frac{n}{n-1}

    ... then what is \lim_{n \rightarrow \infty} \frac {n^{n}}{n!}?...

    Kind regards

    \chi \sigma
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