Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\tan 3x}{x} \) as \( x \) tends to 0.
Options
A 1
B 3
Correct Answer
C 0
D \(\frac{1}{3}\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using the property ( \lim_{x \to 0} \frac{\tan ax}{x} = a ), the limit is 3.

Hint

Model Question 8.

Question Info