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Question

limx0tan1xsin1xx3is equal to



Your Answer
A

1/2

Correct Answer
B

-1/2

Your Answer
C

1

Your Answer
D

-1


Solution

The correct option is C

-1/2


limx0tan1xsin1xx3   (00form)limx011+x211x23x2limx01x2(1+x2)3x2(1+x2)1x2limx0(1x2)(1+x2)23x2(1+x2)1x2[1x2+(1+x2)]=36=12

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