Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

Evaluate lim (sin(x)/x) as x approaches 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.The limit of sin(x)/x as x approaches 0 is 1. This can be proven using L'Hôpital's Rule or geometric arguments.

Hint

This is a standard trigonometric limit. If you forget it, L'Hôpital's Rule is applicable since it's of the form 0/0.

Question Info