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\textbf{Math 126A: Calculus II}
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\textbf{Quiz 7}\quad \textsl{October 26, 1999}

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Be sure to \emph{show all your work and include all important steps}.

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1. Calculate the value of the series $\sum _{n=1}^\infty (-1)^n e^{-n}$.

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%Use telescoping sums to calculate the value of the series
%$\sum _{n=1}^\infty \frac{1}{(n+3)(n+4)}$

2. Determine whether the following series converge or diverge. Be sure to
justify your answers.

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a)  $\sum_{n=2}^\infty\frac{1}{n(\ln(n))^2}$

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b)  $\sum_{n=5}^\infty\frac{n-1}{n+3}$

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