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Determine the indicated limit if it exists:

lim x →2 x+3 if x<2, 3-x if x<2

1 Answer

3 votes

Final answer:

The question to evaluate the limit as x approaches 2 contained a typo, making it unclear. More information is needed to properly determine the limit from the right side and thus to find the overall limit.

Step-by-step explanation:

The student asked to determine the indicated limit as x approaches 2. However, there seems to be a typo in the question because both pieces of the function are given as conditions for x<2, which does not provide information for x>2 or x=2. In order to properly evaluate the limit, we need to know the behavior of the function as x approaches 2 from both sides (from the left and the right). If both pieces were intended to be for x<2, then we cannot evaluate the limit as x approaches 2 from the right. Therefore, more information is required to answer this question accurately.

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