Tinh A= 2014/2015+2015/2016+2016/2017+2017/2014 hay so sanh A voi 4
So sanh 2016 /2017+2017/2018 voi 1
a. So sanh 2 phan so:A= 2015/2016+2016/2017+2017/2018 va B = 2015+2016+2017/2016+2017+2018
b.1/2.4+1/4.6+........+1/(2x-2).2x = 1/8
c.Cho A = 1/4+1/9+1/16+...+1/81+1/100 . Chung minh rang : A > 65/132
d.Cho B = 12/(2 . 4 ) ^ 2 + 20/ (4 . 6) ^2 + ...........+ 388/ ( 96 . 98 ) ^ 2 + 396/ ( 98 . 100 ) ^2 .Hay so sanh B voi 1 /4
So sanh A va B biet
A=2017^100/1+2017+2017^2+2017^3+.....+2017^100
B=2016^100/1+2016+2016^2+2016^3+.....+2016^100
so sanh AvaB A=2017^2016+1/2017^2017+1 va B=2x+1/x-3
So sanh :\(\frac{2017}{2018}+\frac{2018}{2019}va\frac{2015}{2016}+\frac{2016}{2017}\)
so sanh A va B
\(A=\frac{2017^{100}}{1+2017+2017^2+2017^3+...+2017^{100}}\)
\(B=\frac{2016^{100}}{1+2016+2016^2+2016^3+...+2016^{100}}\)
Cho A= \(\frac{2016}{2017}+\frac{2017}{2018}+\frac{2018}{2016}\)
So sanh A voi 3
So sanh A=2016^2016+1/2016^2017+1 va B=2016^2015+1/2016^2015+1