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Putnam
1990 Putnam
A2
A2
Part of
1990 Putnam
Problems
(1)
Subsequence that converges to sqrt(2)
Source: Putnam 1990 A2
7/12/2013
Is
2
\sqrt{2}
2
the limit of a sequence of numbers of the form
n
3
−
m
3
\sqrt[3]{n} - \sqrt[3]{m}
3
n
−
3
m
, where
n
,
m
=
0
,
1
,
2
,
⋯
n, m = 0, 1, 2, \cdots
n
,
m
=
0
,
1
,
2
,
⋯
.
Putnam
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