\(2008A=\dfrac{2008^{2009}+2008}{2008^{2009}+1}=1+\dfrac{2007}{2008^{2009}+1}\)
\(2008B=\dfrac{2008^{2008}+2008}{2008^{2008}+1}=1+\dfrac{2007}{2008^{2008}+1}\)
Ta có: \(2008^{2009}+1>2008^{2008}+1\)
=>\(\dfrac{2007}{2008^{2009}+1}< \dfrac{2007}{2008^{2008}+1}\)
=>\(\dfrac{2007}{2008^{2009}+1}+1< \dfrac{2007}{2008^{2008}+1}+1\)
=>2028A<2028B
=>A<B
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