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\begin{frame}
  \frametitle{Infinite Limits at Infinity}
  
  \begin{block}{}\vspace{-2ex}
    \begin{talign}
      \lim_{x\to \infty} f(x) = \infty 
    \end{talign}
    if we can make the values of $f(x)$ arbitrary large by taking
    $x$ sufficiently large.
  \end{block}
  \pause\medskip
  
  Similar for:
  \begin{talign}
    \lim_{x\to \infty} f(x) = -\infty && 
    \lim_{x\to -\infty} f(x) = \infty &&
    \lim_{x\to -\infty} f(x) = -\infty
  \end{talign}
  \pause
  
  \begin{exampleblock}{}
    \begin{malign}
      \lim_{x\to \infty} x^3 = \mpause[1]{\infty}
      && \mpause[2]{\lim_{x\to -\infty} x^3 = \mpause[3]{-\infty}}
    \end{malign}
  \end{exampleblock}
  \pause\pause\pause\pause

  \begin{exampleblock}{}
    \begin{malign}
      \lim_{x\to \infty} a^x &= \infty  && \text{for \mpause[1]{$a > 1$} }\\
      \mpause[2]{\lim_{x\to -\infty} a^x} &\mpause[2]{= \infty} && \mpause[2]{\text{for \mpause[3]{$0 < a < 1$}} }
    \end{malign}
  \end{exampleblock}
\end{frame}