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

  \begin{exampleblock}{}
    Evaluate 
    \begin{talign}
      \lim_{x\to \infty} \frac{3x^2 -x - 2}{5x^2 + 4x + 1}
    \end{talign}
    \pause
    
    We have
    \begin{talign}
      \lim_{x\to \infty} \frac{3x^2 -x - 2}{5x^2 + 4x + 1}
      &\mpause[1]{= \lim_{x\to \infty}  \left( \frac{3x^2 -x - 2}{5x^2 + 4x + 1} \cdot \frac{(\frac{1}{x^2})}{(\frac{1}{x^2})} \right) } \\
      &\mpause[2]{= \lim_{x\to \infty}  \frac{3 -\frac{1}{x} - \frac{2}{x^2}}{5 + \frac{4}{x} + \frac{1}{x^2}} } \\
      &\mpause[3]{=  \frac{\lim_{x\to \infty} (3 -\frac{1}{x} - \frac{2}{x^2})}{\lim_{x\to \infty} (5 + \frac{4}{x} + \frac{1}{x^2}) } } \\
      &\mpause[4]{=  \frac{3}{5} }
    \end{talign}
  \end{exampleblock}
\end{frame}