Functions Question 37

Question: $ \underset{x\to 0}{\mathop{\lim }}\frac{\sin x^{o}}{x}= $

Options:

A) 1

B) $ \pi /180 $

C) Does not exist

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \underset{x\to 0}{\mathop{\lim }}\frac{\sin x^{o}}{x}=\underset{x\to 0}{\mathop{\lim }}\frac{\sin \frac{\pi x}{180}}{x}=\frac{\pi }{180} $ $ { \because x{}^\circ =\frac{\pi x}{180}radian } $ .