Question Detail

MTH 102 Limits Objective Question

Question

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

Option C is the correct answer.

Detailed Explanation

Using L'Hospital's Rule, the derivative of ( (\cos x - 1) ) is ( -\sin x ) and the derivative of ( x ) is 1. ( \frac{-\sin(0)}{1} = 0 ).

Hint

Example 14.

Question Info