Start learning →

lim_(x→0) (sin 3x)/(sin 5x) =

A1
B0
C3/5
D5/3
Answer & Solution
Correct answer: C. 3/5
**Rewrite:** (sin 3x / 3x) × (5x / sin 5x) × (3/5). As x → 0, sin(ax)/ax → 1 for any a. Limit = 1 × 1 × 3/5 = 3/5.
Practise this question with Quill — AP Calculus AB →

Keep practising Unit 1B1: Limit Concepts and Graphical Limits

Browse all Unit 1B1: Limit Concepts and Graphical Limits questions for AP Calculus AB, or explore more Mathematics topics.

Start a Unit 1B1: Limit Concepts and Graphical Limits lesson →