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\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.}