\begin{frame}
  \frametitle{Infinite Limits: Vertical Asymptotes}

  \begin{exampleblock}{}
    What are the vertical asymptotes of 
    \begin{talign}
      f(x) = \log_5 x \;\text{ ?}
    \end{talign}
  \end{exampleblock}
  \pause\smallskip
  
  \begin{center}
    \scalebox{.6}{
    \begin{tikzpicture}[default,baseline=-1ex,yscale=.8]
      \diagram{-1}{5}{-3}{2}{0}
      \diagramannotatez
      \diagramannotatex{1,2,3,4}
      \diagramannotatey{1}
      \draw[cblue,ultra thick] plot[smooth,domain=0.01:5,samples=100] function{log(x)/log(5)} node [above] {$f(x)$};
    \end{tikzpicture}
    }
  \end{center}
  
  The function has the vertical asymptote $x = 0$:
  \begin{talign}
    \lim_{x \to 0^+} \log_5 x = -\infty
  \end{talign}
\end{frame}