so sánh 2016^2017+1/2016^2018+1 với 2016^2015+1/2016^2016+1
a)
Ta có: 2015/2016=1-1/2016
2016/2017=1--1/2020.So sánh 1/2016 và 1/2017 được 1/2016>1/2017
Suy ra 2015/2016<2016/2017
b) 2018/2018=1
2019/2018>1
Vậy 2018/2018 <2019/2018
CHÚC BẠN HỌC TỐT NHÉ!!!
So sánh
A=(20162017+1)/(20162018+1)
B=(20162015=1)/( 20162016+1)
so sánh
P=2015/2016+2016/2017+2017/2018 và Q=2015+2016+2017/2016+2017+2018
Ta có:\(Q=\frac{2015+2016+2017}{2016+2017+2018}=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì \(\hept{\begin{cases}\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\\\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\\\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\end{cases}}\)
\(\Rightarrow\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
\(\Rightarrow P>Q\)
Vậy P > Q
so sánh 2 p/s A=2015/2016+2016/2017+2017/2018 va B=2015+2016+2017/2016+2017+2018
Ta có \(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Leftrightarrow B=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018};\frac{2016}{2017}>\frac{2016}{2016+2017+2018};\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\) nên \(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Hay \(A>B\)
so sánh : A= 2015/2016 + 2016/2017 + 2017/2018 và B= 2015+2016+2017 / 2016+2017+2018
A=2015/2016+2016/2017+2017/2018>2015/2018+2016/2018+2017/2018
=6048/2018>1
B=2015+2016+2017/2016+2017+2018=6048/6051<1
=>A>B
so sánh : A= 2015/2016 + 2016/2017 + 2017/2018 và B= 2015+2016+2017 / 2016+2017+2018
Có: B = 2015 + 2016 + 2017/2016 + 2017 + 2018
B= 2015 / (2015 + 2016+2017) + 2016/(2016+2017+2018) + 2017/(2016 + 2017 + 2018)
vì 2015/2016 > 2015/(2016 + 2017+2018) ; 2016/2017>2016/(2016+2017+2018) ; 2017/2018 > 2017/(2016+2017+2018)
=> A>B
có ai là ARMY ko nếu là ARMY thì mọi người cày view chưa
so sánh : A= 2015/2016 + 2016/2017 + 2017/2018 và B= 2015+2016+2017 / 2016+2017+2018
so sánh 2016^2016 +1 / 2016^2015+1 và 2017^2017 +1 / 2017^2016 +1
so sánh :
2015/2016+2016/2017+2017/2018+2018/2015 với 4
2015/2016+2016/2017+2017/2018+2018/2015 < 4