find the limit, if it exists. \nlim(x→4) √(x - 4)\n1.73205081\n0\ndoes not exist\n-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 $\lim_{x\rightarrow1}\sqrt{x - 4}$. Since $1<4$, the function $\sqrt{x - 4}$ is not defined in a neighborhood of $x = 1$.

Answer:

Does not exist