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Question

The value of limn(12n+1+12n+2++16n) is

A
ln2
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B
ln4
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C
ln3
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D
ln5
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Solution

The correct option is C ln3
Let S=limn(12n+1+12n+2++16n)
S=limn4nr=112n+r=limn1n4nr=112+(rn)
=40dx2+x=[ln|2+x|]40=ln6ln2=ln3

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