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Question

limxa{|x|3a[xa]3},a>0 is?
where [x] denotes the greatest integer less than or equal to x

A
a23
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B
a21
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C
a2
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D
None of the above
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Solution

The correct option is C a2
limxa{|x|3a[xa]3}
limh0{|ah|3a[aha]3}
=limh0{a3a[1ha]3}=a2limh00=a2

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