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Putnam
1961 Putnam
A3
Putnam 1961 A3
Putnam 1961 A3
Source: Putnam 1961
June 5, 2022
Putnam
limit
series
Problem Statement
Evaluate
lim
n
→
∞
∑
j
=
1
n
2
n
n
2
+
j
2
.
\lim_{n\to \infty} \sum_{j=1}^{n^{2}} \frac{n}{n^2 +j^2 }.
n
→
∞
lim
j
=
1
∑
n
2
n
2
+
j
2
n
.
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