\(\dfrac{2010}{2011}\) và \(\dfrac{2011}{2012}\)
Ta có:
\(1-\dfrac{2010}{2011}=\dfrac{1}{2011}\)
\(1-\dfrac{2011}{2012}=\dfrac{1}{2012}\)
Vì \(\dfrac{1}{2011}>\dfrac{1}{2012}\) nên \(\dfrac{2010}{2011}< \dfrac{2011}{2012}\)
ta có: 1 - 2010/2011= 2011/2011 - 2010/2011=1/2011
1 - 2011/2012= 2012/2012 - 2011/2012= 1/2012
Vì 1/2011>1/2012
Nên 2010/2011>2011/2012