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Putnam
1966 Putnam
A6
Putnam 1966 A6
Putnam 1966 A6
Source:
April 6, 2022
college contests
Problem Statement
Justify the statement that
3
=
1
+
2
1
+
3
1
+
4
1
+
5
1
+
…
.
3=\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+5\sqrt{1+\dots}}}}}.
3
=
1
+
2
1
+
3
1
+
4
1
+
5
1
+
…
.
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