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Putnam
1980 Putnam
B1
Putnam 1980 B1
Putnam 1980 B1
Source: Putnam 1980
April 1, 2022
Putnam
inequalities
exponential
Problem Statement
For which real numbers
c
c
c
is
e
x
+
e
−
x
2
≤
e
c
x
2
\frac{e^x +e^{-x} }{2} \leq e^{c x^2 }
2
e
x
+
e
−
x
≤
e
c
x
2
for all real
x
?
x?
x
?
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