#### Answer

- 4

#### 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 $-4$,
as $x$ approaches $-1$ from the right,
$f(x)$ seems to approach $-4$.
The one sided limits seem to exist and are equal,
so we estimate that
$\displaystyle \lim_{x\rightarrow-1}f(x)=-4$