#### Answer

$\frac{1}{2}$

#### Work Step by Step

First, we separate the values they give us into two categories, one that goes to 3 from the left and one that goes to 3 from the right.
From the first table of values, we can see that as x goes to 3 from the left hand side, y goes to $\frac{1}{2}$.
From the second table of values, we can see that as x goes to 3 from the right hand side y goes to $\frac{1}{2}$.
Therefore, we can conclude that $\lim\limits_{x \to 3}$f(x) = $\frac{1}{2}$.