Question Detail

MTH 102 Limits Objective Question

Question

What is the value of the trigonometric limit: \( \lim_{x \to 0} \frac{\tan x}{x} \)?
Options
A 0
B 1
Correct Answer
C Infinity
D -1
Correct Answer

Option B is the correct answer.

Detailed Explanation

Similar to ( \frac{\sin x}{x} ), the limit of ( \frac{\tan x}{x} ) as ( x ) approaches 0 is 1.

Hint

Trigonometric Functions note on page 9.

Question Info