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Question

limn[1n+1+1n+2+1n+n] is equal to

A
3 log 2
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B
log 2
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C
2 log 2
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D
None of these
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Solution

The correct option is B log 2
limn[1n+1+1n+2+1n+n]
=limnnr=11n+r=limnnr=11n.11+rn
=1011+xdx
=[log(1+x)]10=log2.

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