#### Answer

5

#### 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 1 from the left,
$f(x)$ seems to approach 5,
as $x$ approaches 1 from the right,
$f(x)$ seems to approach 5.
The one sided limits seem to exist and are equal,
so we estimate that
$\displaystyle \lim_{x\rightarrow 1}f(x)=$5