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} $ .