\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.}