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Balkan MO
1992 Balkan MO
2
2
Part of
1992 Balkan MO
Problems
(1)
An inequality for all positive integers n
Source: Balkan MO 1992, Problem 2
4/25/2006
Prove that for all positive integers
n
n
n
the following inequality takes place
(
2
n
2
+
3
n
+
1
)
n
≥
6
n
(
n
!
)
2
.
(2n^2+3n+1)^n \geq 6^n (n!)^2 .
(
2
n
2
+
3
n
+
1
)
n
≥
6
n
(
n
!
)
2
.
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inequalities
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