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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 10}\quad {\sl Apr. 25, 1996}

\begin{enumerate}
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\item State the following.
  \begin{enumerate}[a)]
  \item \textsc{Root Test}
  \answerspace

  \item \textsc{Ratio Test}
  \answerspace

  \item \textsc{Leibniz's Rule}
  \answerspace

  \item Definition of conditional convergence.
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  \end{enumerate}

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

  \answerspace

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

  \answerspace

  \end{enumerate}

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