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Question

If

f(x)={xsin1xx00x=0,

then limx0f(x)=


A

1

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B

0

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C

-1

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D

does not exist

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Solution

The correct option is B

0


Here f(0)=0
Since 1sin1x1|x|xsin1x|x|

We know that limx0|x|=0 and limx0|x|=0

With the help of sandwich theorem we can say limx0f(x)=0


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