Functions Question 100
Question: $ \underset{\theta \to 0}{\mathop{\lim }},\frac{\sin 3\theta -\sin \theta }{\sin \theta }= $
[AI CBSE 1984; DSSE 1984]
Options:
A) 1
B) 2
C) 1/3
D) 3/2
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{\theta \to 0}{\mathop{\lim }}[3-4,{{\sin }^{2}}\theta ]-1=2. $ Aliter : $ \underset{\theta \to 0}{\mathop{\lim }}\frac{\sin 3\theta -\sin \theta }{\sin \theta }=\underset{\theta \to 0}{\mathop{\lim }}\frac{\sin 3\theta }{\sin \theta }-\underset{\theta \to 0}{\mathop{\lim }}\frac{\sin \theta }{\sin \theta } $ $ =\frac{3}{1}-1=2. $ You may also apply L-Hospital rule.
BETA
