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Consider the following graph of y = f(x):
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What is the limx→−1 ƒ(x)?
A. 1
OB.does not exist
OC. 2
OD. O
O E.
E. -1/
2

Consider the following graph of y fx What is the limx1 ƒx A 1 OBdoes not exist OC 2 OD O O E E 1 2 class=

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ZackSt

Answer:

B. Does not exist

Step-by-step explanation:

In a two-sided limit (x approaches any number from both sides), we have to take into account how x approaches the number from the left and from the right. As x approaches -1 from the left, the limit is 2. But as x approaches -1 from the right, the limit is 0. These limits do not equal each other, and therefore the limit as x approaches -1 does not exist.