review the graph of function f(x), which is defined for -6 ≤ x ≤ 8. which one - sided limit does not exist…

Explanation:

Step1: Analyze $\lim_{x\rightarrow - 6^{-}}f(x)$

Function is not defined for $x < - 6$, so this left - hand limit does not exist.

Step2: Analyze $\lim_{x\rightarrow2^{-}}f(x)$

Approaching $x = 2$ from the left, the function value approaches a definite value.

Step3: Analyze $\lim_{x\rightarrow2^{+}}f(x)$

Approaching $x = 2$ from the right, the function value approaches a definite value.

Step4: Analyze $\lim_{x\rightarrow - 6^{+}}f(x)$

Approaching $x=-6$ from the right, the function value approaches a definite value.

Answer:

$\lim_{x\rightarrow - 6^{-}}f(x)$