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Question

limx{x4sin(1x)+x21+|x|3} is equal to

A
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B
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C
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D
does not exist
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Solution

The correct option is C

limx[x4sin(1x)+x21+|x|3]

limxx31+|x|3[xsin(1x)+1x]

As x

x31+|x|3=1

x sin(1x)+1x=1

limxx31+|x|3(x sin1x+1x)=1


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