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Problem
Problem
lim
n
→
∞
[
(
n
+
1
)
(
n
+
2
)
…
3
n
n
2
n
]
1
/
n
\lim_{n \to \infty} \left[ \frac{(n+1)(n+2)\dots 3n}{n^{2n}} \right]^{1/n}
lim
n
→
∞
[
n
2
n
(
n
+
1
)
(
n
+
2
)
…
3
n
]
1/
n
is equal to [2016 JEE Main] a.
18
e
4
\frac{18}{e^4}
e
4
18
b.
27
e
2
\frac{27}{e^2}
e
2
27
c.
9
e
2
\frac{9}{e^2}
e
2
9
d.
3
log
3
−
2
3 \log 3 - 2
3
lo
g
3
−
2
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