Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\cos 2x - \cos x}{\sin^2 x} \) as \( x \) tends to 0.
Options
A \(-\frac{3}{2}\)
Correct Answer
B \(\frac{1}{2}\)
C 0
D -1
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using L'Hospital's rule or series expansion, the limit evaluates to ( -\frac{3}{2} ).

Hint

Exercise 1.1, Question 40.

Question Info