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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 8}\quad {\sl Mar. 25, 1999}

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\begin{enumerate}[a)]

\item If $\{a_n\}$ is an infinite sequence,
      define $\lim_{n\to \infty} a_n = L$.

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  \item Using the definition, prove that
   $\lim_{n\to \infty} \frac{n+(-1)^n}{n} = 1$.

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  \end{enumerate}

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\item
  \begin{enumerate}[a)]
  \item State the Monotone Convergence Theorem for sequences.

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  \item Prove a) for the case of increasing sequences.

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