Functions Question 55
Question: The value of $ \underset{\theta \to 0}{\mathop{\lim }},( \frac{\sin \frac{\theta }{4}}{\theta } ) $ is
[MP PET 1993]
Options:
A) 0
B) 1/4
C) 1
D) Not in existence
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{\theta \to 0}{\mathop{\lim }},\frac{\sin \frac{\theta }{4}}{\theta }=\underset{\theta \to 0}{\mathop{\lim }},\frac{1}{4}.\frac{\sin \frac{\theta }{4}}{(\theta /4)}=\frac{1}{4}. $