Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

Evaluate lim (sin x / x) as x → 0.
Options
A 0
B ∞
C 1
Correct Answer
D π
Correct Answer

Option C is the correct answer.

Detailed Explanation

This is a fundamental limit in calculus. It is a known result that lim (x→0) (sin x / x) = 1. This limit is often used to prove other trigonometric limits and derivatives.

Hint

This is a well-known standard limit. If you're unsure, you can also apply L'Hôpital's Rule.

Question Info