Answer
$\textbf{a.}$ The table is shown below:
$\textbf{b.}$ $\lim_{x\to2}f(x)=4$
Work Step by Step
$f(x)=\dfrac{x^{2}-4}{x-2}$
$\textbf{a.}$ Evaluate the function given for each value of $x$ given in the table shown in the answer section:
$\textbf{b.}$ As it can be seen in the table above, $\lim_{x\to2}f(x)=4$, because as $x$ gets closer to $2$ from the left or from the right, $f(x)$ gets closer to $4$
