Ta có : \(\frac{2016}{2017}< \frac{2017}{2017}=1\)
\(\frac{2017}{2018}< \frac{2018}{2018}=1\)
\(\frac{2018}{2019}< \frac{2019}{2019}=1\)
Nên : \(\frac{2016}{2017}+\frac{2017}{2018}+\frac{2018}{2019}< 1+1+1=3\)
\(\frac{2016}{2017}< 1\)
\(\frac{2017}{2018}< 1\)
\(\frac{2018}{2019}< 1\)
=> \(\frac{2016}{2017}+\frac{2017}{2018}+\frac{2018}{2019}< 1+1+1=3\)