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JOM 2013
1.
Inequality
Inequality
Source: Junior Olympiad of Malaysia 2013 P1
July 20, 2015
Inequality
inequalities
algebra
Problem Statement
Determine the minimum value of
m
m
1
⋅
3
⋅
5
⋅
…
⋅
(
2
m
−
1
)
\dfrac{m^m}{1\cdot 3\cdot 5\cdot \ldots \cdot(2m-1)}
1
⋅
3
⋅
5
⋅
…
⋅
(
2
m
−
1
)
m
m
for positive integers
m
m
m
.
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