Ta có:
A=100^2015+1/100^2016+1 suy ra 100A=100^2016+100/100^2016+1=100^2016+1+99/100^2016+1=1/99/100^2016+1
Lại có
B=100^2016+1/100^2017+1 suy ra 100B=100^2017+100/100^2017+1=100^2017+1+99/100^2017+1=1/99/100^2017+1
Vì1/99/100^2016+1>1/99/100^2017+1 suy ra A>B