\begin{frame}
  \frametitle{Continuity: Examples}

  \begin{exampleblock}{}
    Where is $\frac{x^2 - x -2}{x-2}$ (dis)continuous?
    \begin{itemize}
    \pause
      \item discontinuous at $x = 2$ since $f(2)$ is undefined
    \pause
      \item continuous everywhere else by direct substitution property
    \end{itemize}
  \end{exampleblock}
  \pause\bigskip
  
  \begin{exampleblock}{}
    Where is 
    \begin{talign}
      f(x) = \begin{cases}
        \frac{1}{x^2} &\text{for $x \ne 0$}\\
        1 &\text{for $x = 0$}
      \end{cases}
    \end{talign}
    (dis)continuous?
    \begin{itemize}
    \pause
      \item discontinuous at $x = 0$ since $\lim_{x\to0} f(x)$ does not exist
    \pause
      \item continuous everywhere else by direct substitution property
    \end{itemize}
  \end{exampleblock}
\end{frame}