\begin{frame}
  \frametitle{Infinite Limits: Example}
  
  Consider the following graph of function $g(x)$:
  \begin{center}
    \scalebox{.6}{
    \begin{tikzpicture}[default]
      \diagram{-4}{9}{-1.5}{3.2}{1}
      \diagramannotatez
      \diagramannotatex{-4,-3,-2,-1,1,2,3,4}
      \diagramannotatey{-1,1,2,3}
      \draw[cred] plot[smooth,domain=-4:-2,samples=30] function{2*sqrt((x+4)/2)};
      \draw[cred] plot[smooth,domain=-2:0,samples=20] function{4/(x+4)};
      \draw[cred] (0,-1) to[out=51,in=180] (3,3);
      \draw[cred] plot[smooth,domain=3:5,samples=1000] function{2-sin(5*pi/(x-5))};
      \draw[cred] plot[smooth,domain=5:9,samples=20] function{3-((x-7)**2)/4};
      
      \node[exclude={cred}] at (-2,2) {};
      \node[include={cred}] at (0,1) {};
      \node[exclude={cred}] at (0,-1) {};
      \node[exclude={cred}] at (1,1) {};
    \end{tikzpicture}
    }
  \end{center}
  
  Use the graph to estimate the following values:
  \smallskip
  \begin{minipage}{.39\textwidth}
    \begin{itemize}
      \item $\lim_{x\to 3^-} g(x) = \pause 3$\pause
      \item $\lim_{x\to 3^+} g(x) = \pause 3$\pause
      \item $\lim_{x\to 3} g(x) = \pause 3$\pause
      \item $\lim_{x\to 1} g(x) = \pause 1$\pause
      \item $g(1) = \pause \text{undefined}$\pause
      \item $g(0) = \pause 1$\pause
    \end{itemize}
  \end{minipage}
  \begin{minipage}{.59\textwidth}
    \begin{itemize}
      \item $\lim_{x\to 0^-} g(x) = \pause 1$\pause
      \item $\lim_{x\to 0^+} g(x) = \pause -1$\pause
      \item $\lim_{x\to 0} g(x) = \pause \text{does not exist}$\hspace*{-2cm}\pause
      \item $\lim_{x\to 5^-} g(x) = \pause \text{does not exist}$\hspace*{-2cm}\pause
      \item $\lim_{x\to 5^+} g(x) = \pause 2$\pause
      \item $\lim_{x\to 5} g(x) = \pause \text{does not exist}$\hspace*{-3cm}\hphantom{a}
    \end{itemize}
  \end{minipage}
  \vspace{10cm}
\end{frame}