Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

After differentiation and simplification, the limit follows the square of the coefficients: ( \frac{2^2}{1^2} = 4 ).

Hint

Exercise 1.1, Question 38.

Question Info