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Question

limx3([x3]+[3x](x)), where [.] denotes the greatest integer function, is equal to

A
4
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B
4
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C
0
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D
does not exist
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Solution

The correct option is B 4
Left hand limit =limx3([x3]+[3x](x))=1+03=4
and Right hand limit =limx3+([x3]+[3x](x))=013=4
Therefore, required limit value is 4
Hence, option 'B' is correct.

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