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Practice Series Problems -- Math 112 -- Fall 2001
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\begin{enumerate}
\item $ \sum_{n=1}^{\infty} \frac{1}{\sqrt{n^3+2}}$
\item $ \sum_{n=1}^{\infty} \frac{\tan^{-1} n}{n^3}$
\item $ \sum_{n=1}^{\infty} (\frac{n^2-1}{n^3+3})^{\frac{1}{3}}$
\item $ \sum_{n=1}^{\infty} \frac{1}{(2n+1)!}$
\item $ \sum_{n=1}^{\infty} \frac{10 n+1}{n(n+1)(n+2)}$
\item $ \sum_{n=1}^{\infty} \frac{2^{n+1}}{5^n}$
\item $ \sum_{n=1}^{\infty} \frac{n^2+1}{n}$
\item $ \sum_{n=1}^{\infty} (-1)^n \ln(\frac{1}{n})$
\item $ \sum_{n=1}^{\infty} \ln (\frac{1}{n})$
\item $ \sum_{n=1}^{\infty} \frac{n}{e^n}$
\item $ \sum_{n=1}^{\infty} (\frac{1}{\sqrt{n}-1} - \frac{1}{\sqrt{n}+1})$
\item $ \sum_{n=1}^{\infty} \frac{1}{n\sqrt{n}}$
\item $ \sum_{n=1}^{\infty} {(n+3)!}{n! 3^n}$
\item $ \sum_{n=1}^{\infty} \cos(n\pi)$
\item $ \sum_{n=1}^{\infty} (-1)^n \frac{1}{\sqrt{n+10}}$
\item $ \sum_{n=1}^{\infty} \frac{1}{4^n}$
\item $ \sum_{n=1}^{\infty} (-1)^n \frac{\sin^2 n}{n^{\frac{9}{2}}}$
\item $ \sum_{n=1}^{\infty} \frac{2}{n^2+n}$
\item $ \sum_{n=1}^{\infty} \frac{1}{(n+3)^2}$
\item $ \sum_{n=1}^{\infty} (-1)^n \frac{n^4 3^n}{n!}$
\item $ \sum_{n=1}^{\infty} \frac{\cos(n\pi)}{5^n}$
\item $ \sum_{n=1}^{\infty} \int_n^{n+1} \frac{1}{x^3} dx $

\end{enumerate}

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