\documentclass[12pt]{article}

\usepackage{enumerate}
\usepackage{calculus}
\pagestyle{empty}
\setlength{\parindent}{0pt}
%\setlength{\topmargin}{0in}
%\setlength{\headheight}{0in}
%\setlength{\headsep}{0in}
%\setlength{\footskip}{0in}
%\setlength{\textheight}{9in}
\everymath{\displaystyle}
\newcommand{\answerspace}{\vspace{2in}}
\newcommand{\problemspace}{\bigskip}


\begin{document}

{\bf Math 166: Honors Calculus II}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

{\bf Quiz 8}\quad {\sl Mar. 28, 1996}

\begin{enumerate}
\problemspace
\item Compute the following limits.
  \begin{enumerate}[a)]

  \item $\lim_{x\to\infty}(x^3 - \sqrt{x^6+2})$
  \answerspace

  \problemspace
  \item $\lim_{x\to0^+} x^{x^x}$
  \answerspace

  \problemspace
  \item $\lim_{x\to \infty} \left(\frac{x-c}{x+c}\right)^x$
  \answerspace

  \end{enumerate}


\newpage
\item 
  \begin{enumerate}[a)]
  \item If $\{a_n\}$ is an infinite sequence, define
   $\lim_{n\to \infty} a_n = L$.
  \answerspace

  \problemspace
  \item Using the definition, prove that
   $\lim_{n\to \infty} \frac{1+(-1)^n}{n} = 0$.
  \answerspace

  \end{enumerate}

\end{enumerate}

\end{document}
