lim f(x)=8 and lim f(x)=8, but f(3) does not exist.\nx→3⁻ x→3⁺\nwhat can you say about lim f(x)?\nx→3\n\nlim…

Explanation:

Step1: Recall limit definition

The limit $\lim_{x\rightarrow a}f(x)$ exists if and only if $\lim_{x\rightarrow a^{-}}f(x)=\lim_{x\rightarrow a^{+}}f(x)$.

Step2: Apply given - side limits

We are given that $\lim_{x\rightarrow 3^{-}}f(x) = 8$ and $\lim_{x\rightarrow 3^{+}}f(x)=8$. Since the left - hand limit and the right - hand limit as $x$ approaches $3$ are equal.

Answer:

B. is 8