Evaluate the trigonometric limit: .
Answer and explanation
Correct answer: B.
- Step 1: Direct substitution yields . Apply L'Hopital's Rule or multiply by the conjugate .
- Step 2: Using L'Hopital's Rule: differentiate numerator and denominator with respect to : .
- Step 3: Evaluate the resulting limit: .
Answer
.
Why not the others: '0' confuses this with ; '1' neglects the denominator derivative which contributes the factor ; '' treats in the denominator as causing divergence.
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