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Question

The value of the following expression is limn1n3(12+22+32++n2).

A
12
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B
23
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C
13
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D
16
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Solution

The correct option is C 13
limn1n3(12+22+32++n2)
=limn1n3[n(n+1)(2n+1)6]
=limn(1+1n)(2+1n)6
=1×26=13.

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