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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 7}\quad {\sl Mar. 18, 1995}

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

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  \item State L'Hopital's Rule.

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

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

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  \item 
    $\lim_{x\to \infty} x^5\Big[\sin\Big(\frac{1}{x}\Big) - \frac{1}{x} +
    \frac{1}{6x^3}\Big]$

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  \item 
    $\lim_{x\to-\infty} \frac{\sqrt{x^2 + 4x + 8}}{\sqrt[3]{8x^3 +
    4x + 1}}$

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  \end{enumerate}

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