#### Answer

$\lim_\limits{x\to 2}2x^2=8$

#### Work Step by Step

To find the limit using the table, we must find the value that $f(x)$ approaches, as $x$ approaches a given value. Here, we are asked to find the limit as $x\to2$. As $x$ approaches $2$ from both sides, it is clear that the values of $f(x)$ are approaching $8$. Thus, $\lim_\limits{x\to 2}2x^2=8$.