Question

find the limit, if it exists.
lim(x→4) √(x - 4)
1.73205081
0
does not exist
-1.7320508

Explanation:

Step1: Analyze domain of function

The function $y = \sqrt{x - 4}$ is defined when $x-4\geq0$, i.e., $x\geq4$.

Step2: Check limit point

We are finding $\lim_{x
ightarrow1}\sqrt{x - 4}$. Since $1<4$, the function $\sqrt{x - 4}$ is not defined in a neighborhood of $x = 1$.

Answer:

Does not exist