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Mathematics
Mathematics
Problem
Evaluate
lim
n
→
∞
[
(
n
+
1
)
(
n
+
2
)
⋯
(
n
+
n
)
]
1
/
n
n
\lim_{n \to \infty} \frac{[(n+1)(n+2)\cdots(n+n)]^{1/n}}{n}
lim
n
→
∞
n
[(
n
+
1
)
(
n
+
2
)
⋯
(
n
+
n
)
]
1/
n
.
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