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Putnam
1970 Putnam
B1
B1
Part of
1970 Putnam
Problems
(1)
Putnam 1970 B1
Source: Putnam 1970
5/17/2022
Evaluate
lim
n
→
∞
1
n
4
∏
i
=
1
2
n
(
n
2
+
i
2
)
1
n
.
\lim_{n\to \infty} \frac{1}{n^4 } \prod_{i=1}^{2n} (n^2 +i^2 )^{\frac{1}{n}}.
n
→
∞
lim
n
4
1
i
=
1
∏
2
n
(
n
2
+
i
2
)
n
1
.
Putnam
limit