Question

[Chu Mai Chi]

• Không thực hiện phép tính, hãy so sánh tổng m với 4 biết:2010/​2011+2011/2012+2012/2013+2013/2011.

Answer 1

[Chibi]

\(\frac{2010}{2011}\)+\(\frac{2011}{2012}\)+\(\frac{2012}{2013}\)+\(\frac{2013}{2011}\)

= 1 -\(\frac{1}{2011}\)+ 1 -\(\frac{1}{2012}\)+ 1 -\(\frac{1}{2013}\)+ 1 + \(\frac{2}{2011}\)

= 4 + \(\frac{1}{2011}\)-\(\frac{1}{2012}\)-\(\frac{1}{2013}\)< 4

Answer 2

[Dương Quốc Quân]

$\frac{2010}{2011}$+$\frac{2011}{2012}$+$\frac{2012}{2013}$+$\frac{2013}{2011}$

= 1 -$\frac{1}{2011}$+ 1 -$\frac{1}{2012}$+ 1 -$\frac{1}{2013}$+ 1 + $\frac{2}{2011}$

= 4 + $\frac{1}{2011}$-$\frac{1}{2012}$-$\frac{1}{2013}$< 4