Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\cos x - 1}{\cos 2x - 1} \) as \( x \) tends to 0.
Options
A \(\frac{1}{2}\)
B \(\frac{1}{4}\)
Correct Answer
C 1
D 4
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using L'Hospital's rule twice, the result is ( \frac{1^2}{2^2} = \frac{1}{4} ).

Hint

Exercise 1.1, Question 37.

Question Info