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Math Help - Does this converge?

  1. #1
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    Exclamation Does this converge?

    Does this converge?-untitled.png

    Does the series converge or diverge? If it converges find the sum.
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  2. #2
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    \sum_{n=1}^{\infty} {ne^{-n^2}}

    use the integral test to show convergence ... have to think about the actual sum.
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  3. #3
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    Even better, \sqrt[n]{{ne^{ - n^2 } }} = \frac{{\sqrt[n]{n}}}<br />
{{e^n }}
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