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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 10}\quad {\sl Apr. 27, 1995}

\begin{enumerate}
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\item 
  \begin{enumerate}[a)]
  \item Determine whether the series
  $\sum_{n=1}^\infty \frac{(-1)^n n^2}{(n+1)!}$
  is absolutely convergent, conditionally convergent, or divergent.

  \answerspace

  \problemspace
  \item Describe the set of real numbers $x$ for which the series
  $\sum_{n=1}^\infty \frac{(-1)^n x^{2n}}{n3^n}$ converges.

  \answerspace

  \end{enumerate}


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\item  Compute the integral, if possible, or test it for convergence.
  \begin{enumerate}[a)]

  \item $\int_1^\infty \frac{\log(x)}{x^2} dx$ (Hint: $u = 1/x$)

  \answerspace

 
\item $\int_{-1}^{1} \frac{1}{x^4}dx$

  \answerspace

\item  $\int_0^\infty e^{-x^2}dx$

  \answerspace

  \end{enumerate}

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