Answer
10
Work Step by Step
Please see image attached
for the values that need to be entered into the table.
Reading the table,
as $x$ approaches 2 from the left,
$k(x)$ seems to approach 10,
as $x$ approaches $2$ from the right,
$k(x)$ seems to approach $10$.
The one sided limits seem to exist and are equal,
so we estimate that
$\displaystyle \lim_{x\rightarrow 2}k(x)=10$
