\begin{frame}
  \frametitle{One-Sided Limits: Example}
  
  Consider the following graph of function $g(x)$:
  \begin{center}
    \scalebox{.6}{
    \begin{tikzpicture}[default]
      \diagram{-2}{5}{-1}{4}{1}
      \diagramannotatez
      \diagramannotatex{-1,1,2,3,4}
      \diagramannotatey{1}
      \draw[cred,ultra thick] plot[smooth,domain=-2:2,samples=20] function{2.2-.2*(x-1)**2};
      \draw[cred,ultra thick] plot[smooth,domain=2:4.7,samples=20] function{2-(x-3)**2};
      
      \node[exclude={cred}] at (2,2) {};
      \node[exclude={cred}] at (2,1) {};
      \node[exclude={cred}] at (4,1) {};
      \node[include={cred}] at (4,3) {};
    \end{tikzpicture}
    }
  \end{center}
  \vspace{-1ex}  
  
  Use the graph to estimate the following values:
  \begin{itemize}
  \pause
    \item $\lim_{x\to 2^-} = \alt<-2>{?}{2}$ \only<-2>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \pause\pause
    \item $\lim_{x\to 2^+} = \alt<-4>{?}{1}$ \only<-4>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \pause\pause
    \item $\lim_{x\to 2} \alt<-6>{= ?}{\text{ does not exist}}$ \only<-6>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \pause\pause
    \item $\lim_{x\to 4^-} = \alt<-8>{?}{1}$ \only<-8>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \pause\pause
    \item $\lim_{x\to 4^+} = \alt<-10>{?}{1}$ \only<-10>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \pause\pause
    \item $\lim_{x\to 4} = \alt<-12>{?}{1}$ \only<-12>{\choice{a} $0$ \choice{b} $1$ \choice{c} $2$ \choice{d} $3$ \choice{e} does not exist}
  \end{itemize}
  \pause
  \vspace{10cm}
\end{frame}