Question

Question #1c0d1

Answer 1

`lim_(xrarr4)f(x) = 0`

Explanation:

The limit from the left is

`lim_(xrarr4^-)f(x) = lim_(xrarr4^-)sqrt(x-4) = sqrt(4-4) = 0`

The limit from the right is

`lim_(xrarr4^+)f(x) = lim_(xrarr4^+)(8-2x) = 8-2(4) = 0`

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