What is ?

Answer and explanation

Correct answer: C.

  1. Step 1: Direct substitution yields indeterminate form .
  2. Step 2: Apply L'Hopital's rule: .
Answer
.
Why not the others: inverts the ratio of coefficients; assumes all trigonometric limits cancel to unity; and incorrectly multiplies rather than divides the leading coefficients.

Practise more Differentiation.

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