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}. $