Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

At ( x=0 ), ( \cos x = 1 ) and ( \sin 2x = 0 ). The expression is ( \frac{1}{0} ), which is undefined.

Hint

Exercise 1.1, Question 25.

Question Info