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Putnam
1940 Putnam
B7
Putnam 1940 B7
Putnam 1940 B7
Source: Putnam 1940
February 22, 2022
Putnam
inequalities
Problem Statement
Which is greater
n
n
+
1
or
n
+
1
n
\sqrt{n}^{\sqrt{n+1}} \;\; \; \text{or}\;\;\; \sqrt{n+1}^{\sqrt{n}}
n
n
+
1
or
n
+
1
n
where
n
>
8
?
n>8?
n
>
8
?
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