Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\sin x}{\tan x} \) as \( x \) approaches 0.
Options
A 0
B 1
Correct Answer
C Undefined
D Infinity
Correct Answer

Option B is the correct answer.

Detailed Explanation

( \frac{\sin x}{\tan x} = \frac{\sin x}{\sin x / \cos x} = \cos x ). At ( x=0 ), ( \cos 0 = 1 ).

Hint

Trig identities.

Question Info