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Question

Mathematics Question on Limits

Let kRk\in R. If $$$$$$limx0+(sin(sinkx)+cosx+x)2x=e6\lim\limits_{x→0+}(\sin(\sin kx)+\cos x+x)^{\frac{2}{x}}=e^6, then the value of k is

A

1

B

2

C

3

D

4

Answer

2

Explanation

Solution

The correct option is (B):2.