Evaluate the one-sided limit: .
Answer and explanation
Correct answer: B.
- Step 1: Recall the definition of absolute value: when .
- Step 2: As , , which means .
- Step 3: Therefore, , so .
Answer
.
Why not the others: '1' is the right-hand limit as ; '0' assumes equals zero; 'Does not exist' describes the two-sided limit, not the one-sided left limit.
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