Question Detail

MTH 102 Limits Objective Question

Question

What is the limit of \( \frac{5x}{\sin 2x} \) as \( x \) tends to 0?
Options
A 5
B \(\frac{5}{2}\)
Correct Answer
C 0
D 2.5
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using the property ( \lim_{x \to 0} \frac{x}{\sin x} = 1 ), we get ( \frac{5}{2} ).

Hint

Coefficient ratio.

Question Info