Ta có : \(2009A=\frac{2009^{2010}+2009}{2009^{2010}+1}=\frac{2009^{2010}+1+2008}{2009^{2010}+1}=1+\frac{2008}{2009^{2010}+1}\)
\(2009B=\frac{2009^{2011}-4018}{2009^{2011}-2}=\frac{2009^{2011}-2-4016}{2009^{2011}-2}=1-\frac{4016}{2009^{2011}-2}\)
Mà \(1+\frac{2008}{2009^{2010}+1}>1-\frac{4016}{2009^{2011}-2}\)=> 2009A > 2009B => A > B
So sánh:
A=\(\frac{2009^{2009}+1}{2009^{2010}+1}\)và B=\(\frac{2009^{2010}-2}{2009^{2011}-2}\)
A=\(\frac{2009^{2009}+1}{2009^{2010}+1}\)
B=\(\frac{2009^{2010}-2}{2009^{2011}-2}\)
so sánh A và B
so sánh A=\(\frac{2009^{2009}+1}{2009^{2010}+1}\)B=\(\frac{2009^{2010}-2}{2009^{2011}-2}\)
So sánh : \(A=\frac{2009^{2009}+1}{2009^{2010}+1}\)và \(B=\frac{2009^{2010}-2}{2009^{2011}-2}\)
Giải hẳn ra nhé
So sánh \(A=\frac{2009^{2009}+1}{2009^{2010}+1}\)và \(B=\frac{2009^{2010}-2}{2009^{2011}-2}\)
So sánh A=2009^2009+1/2009^2010+1 và B=2009^2010-2/2009^2011-2
So sánh: A=2009^2009+1/2009^2010+1 và B=2009^2010-2/2009^2011-2
So sánh : A=\(\frac{2008}{2009}\)+\(\frac{2009}{2010}\)+\(\frac{2010}{2011}\)và B=\(\frac{2008+2009+2010}{2009+2010+2011}\)
So sánh : \(A=\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}vàB=\frac{2008+2009+2010}{2009+2010+2011}\)
So sánh:
A=2009^2009+1/2009^2010+1
và
B=2009^2010-2/2009^2011-2
