Functions Question 36

Question: $ \underset{x\to 0}{\mathop{\lim }}\frac{\sin ax}{\sin bx}= $

Options:

A) $ a/b $

B) $ b/a $

C) 1

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to 0}{\mathop{\lim }}\frac{\sin ax}{\sin bx}=\underset{x\to 0}{\mathop{\lim }}\frac{a}{b}\frac{\sin ax}{ax}\frac{bx}{\sin bx}=\frac{a}{b} $ .