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Question

Mathematics Question on limits of trigonometric functions

limx0sinxx\displaystyle\lim_{x\to0} \frac{\sin x}{x} is equal to

A

2

B

-1

C

1

D

0

Answer

1

Explanation

Solution

limx0sinxx=limx0cosx1\displaystyle\lim _{x \rightarrow 0} \frac{\sin x}{x}=\displaystyle\lim _{x \rightarrow 0} \frac{\cos x}{1}
=cos0=1=\cos 0=1