02_01_ex_33.tex

{Give intervals on which each of the following functions are continuous.

\noindent\begin{minipage}[t]{.5\linewidth}
\begin{enumerate}
\item		$\ds \frac{1}{e^x+1}$
\item		$\ds \frac{1}{x^2-1}$
\end{enumerate}
\end{minipage}
\begin{minipage}[t]{.5\linewidth}
\begin{enumerate}\addtocounter{enumii}{2}
\item		$\ds \sqrt{5-x}\phantom{\frac{1}{e^x+1}}$
\item		$\ds \sqrt{5-x^2}\phantom{\frac{1}{x^2-1}}$
\end{enumerate}
\end{minipage}
}
{\begin{enumerate}
\item		$(-\infty,\infty)$
\item		$(-\infty,-1)\cup (-1,1) \cup (1,\infty)$
\item		$(-\infty,5]$
\item		$[-\sqrt{5},\sqrt{5}]$
\end{enumerate}
}