\documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{epsfig}

\pagestyle{empty}
\setlength{\textwidth}{6.5in} 
\setlength{\textheight}{9in} 
\setlength{\headheight}{0in} 
\setlength{\evensidemargin}{0in}
\setlength{\oddsidemargin}{0in}
\setlength{\topmargin}{0in}
\input{/home/jeff/tex/shortcuts.tex}

\begin{document}
\begin{center}
{\bf Supplementary problems (assigned 10/10/03)}
\end{center}
\vspace*{.3in}

\begin{enumerate}
\item 
Prove directly from Definition 4.5 that the function 
$f:[0,\infty)\to[0,\infty)$ given by $f(x) = \sqrt{x}$
is continuous at every point in its domain.

\item 
Prove each item in Theorem 4.4 directly from Definition 4.1---i.e. do
not use the corresponding facts about limits of sequences.
\end{enumerate}

\end{document}
\end
