A. $$ \lim _{x \rightarrow 2} g(x)=\square $$ (Simplify your answer.) OB. The limit does not exist and is neither $$ \infty $$ nor $$ -\infty $$.

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UpStudy AI · Accepted Answer

1. Since there is no indication that $$ g(x) $$ approaches the same finite value as $$ x $$ approaches 2 in all cases, we must examine the behavior of the one‐sided limits.
2. The fact that one of the answer choices is “The limit does not exist and is neither $$ \infty $$ nor $$ -\infty $$” suggests that the behavior of $$ g(x) $$ is such that the left-hand and right-hand limits differ (i.e., there is a jump discontinuity at $$ x = 2 $$).
3. Therefore, we conclude that  
   $$
   \lim_{x \rightarrow 2} g(x)
   $$
   does not exist.

Thus, the correct answer is OB.
The limit does not exist and is neither $$ \infty $$ nor $$ -\infty $$.

A.
(Simplify your answer.)
OB. The limit does not exist and is neither nor .

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A. (Simplify your answer.) OB. The limit does not exist and is neither nor .