14/119
\begin{frame}
  \frametitle{Limits at Infinity}
  
  \begin{exampleblock}{}
    Find $\lim_{x\to \infty} \frac{1}{x}$ and $\lim_{x\to -\infty} \frac{1}{x}$. 
    \pause\medskip
    
    As $x$ gets larger, $\frac{1}{x}$ gets closer to $0$.\\
    \pause
    Thus $\lim_{x\to \infty} \frac{1}{x} = 0$.
    \pause\medskip
    
    As $x$ gets larger negative, $\frac{1}{x}$ gets closer to $0$.\\
    \pause
    Thus $\lim_{x\to -\infty} \frac{1}{x} = 0$.
    \pause
    
    \begin{center}\vspace{-1ex}
      \scalebox{.7}{
      \begin{tikzpicture}[default,yscale=.8]
        \diagram{-4}{4}{-3}{3}{1}
        \diagramannotatez
        \diagramannotatex{1,1}
        \diagramannotatey{1,1}
        \draw[cgreen,ultra thick] plot[smooth,domain=.33:4,samples=20] function{1/x};
        \draw[cgreen,ultra thick] plot[smooth,domain=-4:-.33,samples=20] function{1/x};
        \draw[cred,ultra thick,dashed] (-4,0) -- (4,0);
      \end{tikzpicture}
      }
    \end{center}\vspace{-1ex}
    The function has the horizontal asymptote $y = 0$.
  \end{exampleblock}
\end{frame}