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ta có: 201810+201811=201810.(1+2018) = 201810.2019
201911=201910.2019
=> 201810<201910 => 201810.2019 < 201910.2019
=> 201810+201811<201911
ta có:
201810+201811=201810.(1+2018) = 201810.2019
201911=201910.2019
=> 201810<201910 => 201810.2019 < 201910.2019
=> 201810+201811<201911
\(x=\frac{2019^{2020}+1}{2019^{2019}+1}>\frac{2019^{2020}+1+2018}{2019^{2019}+1+2018}=\frac{2019^{2020}+2019}{2019^{2019}+2019}=\frac{2019\left(2019^{2019}+1\right)}{2019\left(2019^{2018}+1\right)}=\frac{2019^{2019}+1}{2019^{2018}+1}\)(1)
\(y=\frac{2019^{2019}+2020}{2019^{2018}+2020}< \frac{2019^{2019}+2020-2019}{2019^{2018}+2020-2019}=\frac{2019^{2019}+1}{2019^{2018}+1}\left(2\right)\)
Từ (1) và (2) \(\Rightarrow x>y\)
A lớn hơn B