Question Detail

MTH 102 Limits Objective Question

Question

What is the limit of \( \frac{3 \sin 5x}{x} \) as \( x \) approaches 0?
Options
A 3
B 5
C 15
Correct Answer
D 0
Correct Answer

Option C is the correct answer.

Detailed Explanation

The limit of ( \frac{\sin(ax)}{x} ) is ( a ). Multiplying by 3 gives ( 3 \times 5 = 15 ).

Hint

Formula \( \lim_{x \to 0} \frac{\sin(ax)}{x} = a \).

Question Info