Question

 So sánh P và Q, biết:  và 

Answer 1

ta có :

`Q = (2010 + 2011 + 2012)/(2011 + 2012 + 2013) = 2010/(2011 + 2012 + 2013) + 2011/(2011 + 2012 + 2013) + 2012/(2011 + 2012 + 2013)`

Vì 

`2010/2011 > 2010/(2011 + 2012 + 2013)`

`2011/2012 > 2012/(2011 + 2012 + 2013)`

`2012/2013 > 2012/(2011 + 2012 + 2013)`

`=> 2010/2011 + 2011/2012 + 2012/2013 > 2010/(2011 + 2012 + 2013) + 2011/(2011 + 2012 + 2013) + 2012/(2011 + 2012 + 2013)`

hay `2010/2011 + 2011/2012 + 2012/2013 >  (2010 + 2011 + 2012)/(2011 + 2012 + 2013)`

`=>P>Q`

Answer 2

 

 

 

    = 2,998

 

 

  =    \(\dfrac{2011}{2012}\)        =0,9995

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

vậy P>Q