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Mathematics Question on limits of trigonometric functions

If lim⁡x→0sin⁡(2+x)−sin⁡(2−x)x\lim\limits_{x \rightarrow 0} \frac{\sin(2+x)-\sin(2-x)}{x}= A cos B, then the values of A and B respectively are

A

2, 1

B

2, 2

C

1, 1

D

1, 2

Answer

2, 2

Explanation

Solution

The correct answer is (B) :2, 2.