28/154
\begin{frame}
  \frametitle{Limit: Continued}
  
  \begin{block}{}
    $\lim_{x\to a} f(x) = L$
    if we can make the values of $f(x)$ arbitrarily close to $L$
    by taking $x$ sufficiently close to $a$ but not equal to $a$.
  \end{block}
  \medskip
  \pause
    
  Note that we never consider $f(x)$ for $x=a$. \alert{The value of $f(a)$ does not matter.}