Question

Choose the most appropriate options. 
The limit \[ \lim_{x \to 0} \frac{1 - \cos 2x}{x \tan 4x} \]

• A. 4
• B. 3
• C. 2
• D. \( \frac{1}{2} \)

Hint:

When encountering indeterminate forms, L'Hopital's Rule or series expansions can often simplify the evaluation.

Answer 1

The Correct Option is C

Using L'Hopital's Rule or standard limit properties, we evaluate the given limit: \[ \lim_{x \to 0} \frac{1 - \cos 2x}{x \tan 4x} = 2 \]
Thus, the correct answer is \( 2 \).