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\usepackage[pdftex]{exerquiz}

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\useEndQuizButton
\def\AnswerFieldDefaults
{%
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 }

\everymath{\displaystyle}



\def\problem#1\par{\bigskip\begin{minipage}{\linewidth}\item #1\end{minipage}}
\everymath{\displaystyle}

\begin{document}

\author{Robert Ma\v r\'\i k}
\title{Demo 1 -- Limits}
\def\optionalpagematter{
  \begin{itemize}
  \item Find the limit of basic elementary function.
  \item Click "Begin quizz", mark correct answers and click "End quizz". The number of correct answers appears in the field.
  \item Click "Correct" and you will see the correct answers.
  \item Test starts on the next page.
  \end{itemize}
}
\maketitle

\quiztype{f}

\begin{quiz}{derivace}
\begin{multicols}3
\begin{questions}
\problem{$\lim_{x\to 0^+}\ln x$}
\begin{answers}{1}
\Ans1 $-\infty$\\[5pt]
\Ans0 $1$\\[5pt]
\Ans0 $0$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans0 another answer\end{answers}


\problem{$\lim_{x\to e}\ln x$}
\begin{answers}{1}
\Ans0 $0$\\[5pt]
\Ans0 $\infty$\\[5pt]
\Ans0 $-\infty$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans1 another answer\end{answers}


\problem{$\lim_{x\to \frac \pi 2^+}\tan x$}
\begin{answers}{1}
\Ans0 $\frac\pi 2$\\[5pt]
\Ans0 $-\frac\pi 2$\\[5pt]
\Ans1 $-\infty$\\[5pt]
\Ans0 $-\frac\pi 4$\\[5pt]
\Ans0 another answer\end{answers}


\problem{$\lim_{x\to \frac \pi 2}\tan x$}
\begin{answers}{1}
\Ans0 $-\frac\pi 4$\\[5pt]
\Ans0 $\frac\pi 2$\\[5pt]
\Ans1 does not exist\\[5pt]
\Ans0 $-\infty$\\[5pt]
\Ans0 another answer\end{answers}


\problem{$\lim_{x\to \infty}\frac 1x$}
\begin{answers}{1}
\Ans1 $0$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans0 $-\infty$\\[5pt]
\Ans0 $-1$\\[5pt]
\Ans0 another answer\end{answers}


\problem{$\lim_{x\to+\infty}\arctan x$}
\begin{answers}{1}
\Ans0 $-1$\\[5pt]
\Ans0 $0$\\[5pt]
\Ans0 $\frac\pi 4$\\[5pt]
\Ans1 $\frac\pi 2$\\[5pt]
\Ans0 another answer\end{answers}


\problem{$\lim_{x\to e}\ln x$}
\begin{answers}{1}
\Ans0 $-1$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans0 $-\infty$\\[5pt]
\Ans1 $1$\\[5pt]
\Ans0 $\infty$
\end{answers}


\problem{$\lim_{x\to -\infty}\sin x$}
\begin{answers}{1}
\Ans0 $\frac\pi 4$\\[5pt]
\Ans0 $\frac\pi 2$\\[5pt]
\Ans0 $\infty$\\[5pt]
\Ans0 $-\frac\pi 2$\\[5pt]
\Ans1 does not exist
\end{answers}


\problem{$\lim_{x\to \pi}\tan x$}
\begin{answers}{1}
\Ans0 $\frac\pi 2$\\[5pt]
\Ans0 $-1$\\[5pt]
\Ans0 $1$\\[5pt]
\Ans1 $0$\\[5pt]
\Ans0 $\infty$
\end{answers}


\problem{$\lim_{x\to 1}\ln x$}
\begin{answers}{1}
\Ans0 $-1$\\[5pt]
\Ans0 $1$\\[5pt]
\Ans0 $-\infty$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans1 $0$
\end{answers}


\problem{$\lim_{x\to 0^+}\ln x$}
\begin{answers}{1}
\Ans0 does not exist\\[5pt]
\Ans0 $-1$\\[5pt]
\Ans1 $-\infty$\\[5pt]
\Ans0 $\infty$\\[5pt]
\Ans0 $1$
\end{answers}


\problem{$\lim_{x\to 1}\arctan x$}
\begin{answers}{1}
\Ans1 $\frac\pi 4$\\[5pt]
\Ans0 $0$\\[5pt]
\Ans0 $-1$\\[5pt]
\Ans0 does not exist\\[5pt]
\Ans0 $-\frac\pi 4$
\end{answers}


\end{questions}
\end{multicols}
\end{quiz}
\ScoreField\currQuiz\eqButton\currQuiz

\end{document}