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2006 Stanford Mathematics Tournament
8
2006 SMT Team Round #8 - Evaluate
2006 SMT Team Round #8 - Evaluate
Source:
August 22, 2011
limit
Problem Statement
Evaluate:
lim
n
→
∞
∑
k
=
n
2
(
n
+
1
)
2
1
k
\lim_{n\rightarrow\infty}\sum_{k=n^2}^{(n+1)^2} \dfrac{1}{\sqrt{k}}
lim
n
→
∞
∑
k
=
n
2
(
n
+
1
)
2
k
1
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