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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 6}\quad {\sl Oct.\ 12, 1995}

\begin{enumerate}
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\item Give precise definitions for the following.
    \begin{enumerate}[a)]
    \item   $\lim_{x\to p}f(x) = A$.
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    \item   $f(x)$ is continuous at~$p$.
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    \item   $f(x)$ has a removable discontinuity at~$p$.
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    \end{enumerate}

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\item State the \textsc{Basic Limit Theorems}. 
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\newpage
\item Suppose $f(x)$ is a function with the following property: if $|x-1|
< 2$ then $|f(x)-3| < 4|x-1|^2$. Prove using the definition of limit that
$\lim_{x\to1} f(x) = 3$.
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