Question Detail

MTH 102 Limits Objective Question

Question

According to the provided formulas, what is the limit of \( \frac{1 - \cos ax}{x^2} \) as \( x \) approaches 0?
Options
A \(\frac{a}{2}\)
B \( a^2 \)
C \( \frac{a^2}{2} \)
Correct Answer
D 0
Correct Answer

Option C is the correct answer.

Detailed Explanation

This is a standard trigonometric limit result derived via L'Hospital's rule or identities.

Hint

Formula note on page 19.

Question Info