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Question
Math
Posted 2 months ago

Function hh is graphed.

What appears to be the value of limx2h(x)\lim _{x \rightarrow-2^{-}} h(x) ?
Choose 1 answer:
(A) 2
(B) -2
(C) -6
(D) Unbounded
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Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
To find the limit of h(x)h(x) as xx approaches 2-2 from the left, we need to analyze the behavior of the function h(x)h(x) near x=2x = -2
step 2
From the graph, we observe that as xx approaches 2-2 from the left, h(x)h(x) approaches 6-6
step 3
Since the function h(x)h(x) approaches the same value from the left, the limit exists and is equal to 6-6
step 4
Therefore, limx2h(x)=6 \lim_{x \rightarrow -2^{-}} h(x) = -6
Answer
(C) -6
Key Concept
Limit of a function
Explanation
The limit of a function as xx approaches a certain value is the value that the function approaches as xx gets closer to that value. In this case, as xx approaches 2-2 from the left, h(x)h(x) approaches 6-6.

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