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Putnam
1953 Putnam
A6
Putnam 1953 A6
Putnam 1953 A6
Source: Putnam 1953
July 16, 2022
Putnam
Sequences
limit
Problem Statement
Show that the sequence
7
,
7
−
7
,
7
−
7
−
7
,
…
\sqrt{7} , \sqrt{7-\sqrt{7}}, \sqrt{7-\sqrt{7-\sqrt{7}}}, \ldots
7
,
7
−
7
,
7
−
7
−
7
,
…
converges and evaluate the limit.
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