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Question

Let [x] denote the greatest integer less than or equal to x for any real number x. Then limn[n2]n is equal to

A
0
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B
2
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C
2
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D
1
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Solution

The correct option is C 2
n2[n2]n2
n21n[n2]nn2n
Applying limn
limn(21n)limn[n2]nlimn2

(20)limn[n2]n2(asn;1n0)

limn[n2]n=2

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