So sánh
A = 2010/2011 + 2011/2012 + 2012/2013
B = 2010 + 2011 + 2012/ 2011 + 2012 + 2013
Help me > . <
So sánh
A = 2010/2011 + 2011/2012 + 2012/2013
B = 2010 + 2011 + 2012/ 2011 + 2012 + 2013
Help me > . <
lời giải:
`2010/2011` > `2010/2011+2012+2013`
`2011/2012` > `2011/2011+2012+2013`
`2012/2013` > `2012/2011+2012+2013`
Nên: `2010/2011`+`2011/2012`+`2012/2013` >`2010 + 2011 + 2012 / 2011 + 2012 + 2013`
=> A>B
Ta có:
`2010/2011>(2010 )/ (2011 + 2012 + 2013)`
`2011/2012>(2011 )/ (2011 + 2012 + 2013)`
`2012/2013>(2012 )/ (2011 + 2012 + 2013)`
`⇒2010/2011 + 2011/2012 + 2012/2013>(2010 + 2011 + 2012)/ (2011 + 2012 + 2013)`
Vậy $A>B$.