A=1/2^2+1/3^2+1/4^2+....+1/2018^2 <1
➩1/1.2+1/2.3+1/3.4+....+1/2017.2018 <1/2^2+1/3^2+1/4^2+....+1/2018^2
A=1-1/2+1/2-1/3+1/3-1/4+......+1/2017-1/2018
A=1-1/2018
A=2017/2018
Mà 2017/2018<1
➩1/2^2+1/3^2+1/4^2+....+1/2018^2 <1
Vậy ..............................