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Q.

limn→∞ 1n+1n+1+…+13n=

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a

log 2

b

log 3

c

log 5

d

0

answer is B.

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Detailed Solution

limn→∞ 1n+1n+1+…+13n=limn→∞ 1n+1n+1+…+1n+2n=limn→∞ ∑k=02n 1n+k=limn→∞ 1n∑k=02n 11+k/n=∫02 dx1+x=log⁡(1+x)02=log⁡3
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limn→∞ 1n+1n+1+…+13n=