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\textbf{Math 126: Calculus II}
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\textbf{Quiz 8}\quad \textsl{November 2, 1999}
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Show that each of the following series converges. \emph{Be sure to
indicate the test you are using and include all important steps in
your work.}

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1. $\sum_{n=1}^\infty\frac{1+\sin(n)}{3^n}$

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2. $\sum_{n=1}^\infty\frac{(-1)^n}{\sqrt{n}+\sqrt{n+1}}$

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3. $\sum_{n=1}^\infty\frac{(10+n)^{10}}{n!}$

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4. $\sum_{n=1}^\infty\frac{n^n}{(2n+1)^n}$

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5. $\sum_{n=2}^\infty\frac{\ln(n)}{n^2}$

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