CGPET 2014 Solved Paper

Section: Mathematics

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Question : 130 of 150

Marks: +1, -0

If

lim

n→∞

‌∑‌

log(n+r)−log‌n

n

=2(log‌2−‌

1

2

), then

lim

n→∞

‌

1

nλ

[(n+1)λ(n+2)λ...(n+n)λ]1∕n is equal to

‌
4λ
e
(‌
4
e
)λ
(‌
4
e
)‌
1
λ
(‌
e
4
)λ

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