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Niels Henrik Abels Math Contest (Norwegian Math Olympiad) Final Round
2009 Abels Math Contest (Norwegian MO) Final
4a
( 2010/2009 )^2009 >2
( 2010/2009 )^2009 >2
Source: Norwegian Mathematical Olympiad 2009 - Abel Competition p4a
September 5, 2019
algebra
inequalities
Problem Statement
Show that
(
2010
2009
)
2009
>
2
\left(\frac{2010}{2009}\right)^{2009}> 2
(
2009
2010
)
2009
>
2
.
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