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\begin{frame}
  \frametitle{Limits at Infinity}

  \begin{exampleblock}{}
    Evaluate 
    \begin{talign}
      \lim_{x\to \infty} \frac{3x^5 + x^2 -2}{x^2 - x + 2^{x}} = \mpause[1]{0}
    \end{talign}
    \pause\pause
    since $2^x$ grows faster than any polynomial.
  \end{exampleblock}
  \pause
  
  \begin{exampleblock}{}
    Evaluate 
    \begin{talign}
      \lim_{x\to \infty} \frac{3x^2 + x}{5x^2 - x + 5^{-x}} = \mpause[1]{\frac{3}{5}}
    \end{talign}
    \pause\pause
    since $\lim_{x\to \infty} 5^{-x} = 0$.
  \end{exampleblock}
  \pause

  \begin{exampleblock}{}
    Evaluate 
    \begin{talign}
      \lim_{x\to 0^-} e^{\frac{1}{x}} = 
      \mpause[1]{ \lim_{x\to -\infty} e^{x} = }
      \mpause[2]{ 0}
    \end{talign}
  \end{exampleblock}
  \pause\pause
\end{frame}