\documentclass[12pt]{article}

\pagestyle{empty}
\setlength{\parindent}{0pt}
\everymath{\displaystyle}
\newcommand{\answerspace}{\vspace{1.25in}}
\newcommand{\problemspace}{\vfil}

\begin{document}

\thispagestyle{empty}

{\bf Math 165: Honors Calculus I}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

{\bf Quiz 7}\quad {\sl October~28, 1999}

\begin{enumerate}

\item 
Define the following precisely: $f(x)$ is continuous at~$p$.

\answerspace

\problemspace

\item State the Basic Limit Theorems.

\answerspace

\newpage

\item Use the Squeezing Principle to show $\lim_{x\to0} x
\sin\big(x+\frac{1}{x}\big) = 0$.

\answerspace

\problemspace

\item Assuming that $\lim_{x\to0}\sin(x)=0$ and $\lim_{x\to0}\cos(x)=1$,
prove that $\sin(x)$ and $\cos(x)$ are continuous at all real numbers~$x$.

\answerspace

\end{enumerate}

\end{document}
