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Question

Solve: limn{1n+1+1n+2++12n}=

A
log 2
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B
log 3
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C
4
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D
π2
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Solution

The correct option is A log 2

Given,

limn{1n+1+1n+2++12n}

=nlimnr=11n+r

=nlimnr=11n(11+rn)

It is in the form of

nlimnr=11nf(rn)=1011+xdx


1011+xdx=[log(1+x)]10


log2log1=log(2)


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