If the function is continuous at , what is the value of ?
Answer and explanation
Correct answer: B.
- Step 1: For to be continuous at , we must have .
- Step 2: Evaluate the limit: .
- Step 3: Since , the limit is . Thus .
Answer
.
Why not the others: inverts the ratio; forgets the factor of in the denominator; assumes the limit of any sine fraction is .
Practise more Limits, continuity and differentiability.
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