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\textbf{Math 126: Calculus II}
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\textbf{Quiz 8}\quad \textsl{October 31 , 2000}
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Determine whether the following series converge or diverge. \emph{Justify
your answer, carefully showing all your work.}

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1. $\sum_{n=1}^\infty ne^{-n}$

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2. $\sum_{n=1}^\infty \frac{\sqrt n}{n^3 + 5}$

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