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Question

limx[n2n3]


A

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C

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Solution

The correct option is C


We have limx[n2n3]

We know, n2=n(n+1)(2n+1)6

limxn(n+1)(2n+1)6n3

limx16(nn)(n+1n)(2n+1n)

limx16(1+1n)(2+1n)

=16(1+0)(2+0)

=16×2=13


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