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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 7}\quad {\sl Mar. 23, 1995}

\begin{enumerate}
\problemspace
\item 
  \begin{enumerate}[a)]
  \item Define $\lim_{x\to\infty}f(x) = A$.

  \answerspace

  \problemspace
  \item Define $\lim_{x\to a}f(x) = \infty$.

  \answerspace

  \problemspace
  \item State L'Hopital's Rule.

  \answerspace

  \end{enumerate}


\newpage
\item Compute the following limits. Be sure to justify your answers. 
  \begin{enumerate}[a)]

  \item
    $\lim_{x\to 0} \frac{\log(\cos(ax))}{x^2}$

  \answerspace

  \item
    $\lim_{x\to (-3)^-} \frac{x-3}{x+3}$

  \answerspace

  \item 
    $\lim_{x\to \infty} \frac{\sqrt{x^4 + 3x^2 + 4}}{\sqrt[3]{27x^6 +
    x^4 + 8}}$

  \answerspace

  \end{enumerate}

\end{enumerate}

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