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Question

limxπ2sin x(sin x)sin x1sin x+1n sin x is equal to


A

4

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B

2

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C

-1

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D

0

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Solution

The correct option is B

2


Let sin x be = t

then = limt1ttt1t+In t
(by L'Hospital's rule)
= limt11tt(1+In t)01+1t
= limt10{tt(1t)+tt(1+In t)201t2 = 2


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