# Question #1c0d1

Jul 26, 2017

${\lim}_{x \rightarrow 4} f \left(x\right) = 0$

#### Explanation:

The limit from the left is

${\lim}_{x \rightarrow {4}^{-}} f \left(x\right) = {\lim}_{x \rightarrow {4}^{-}} \sqrt{x - 4} = \sqrt{4 - 4} = 0$

The limit from the right is

${\lim}_{x \rightarrow {4}^{+}} f \left(x\right) = {\lim}_{x \rightarrow {4}^{+}} \left(8 - 2 x\right) = 8 - 2 \left(4\right) = 0$

Since the left and right limits are the same and equal to $0$, that is also the (two-sided) limit.