So sánh A = \(\dfrac{10^{2014}+2016}{10^{2015}+2016}\) và B = \(\dfrac{10^{2015}+2016}{10^{2016}+2016}\) giúp mình nhanh với
Cho A = \(\dfrac{1}{2014}\)+\(\dfrac{2}{2013}\)+\(\dfrac{3}{2012}\)+...+\(\dfrac{2013}{2}\)+2014
B = \(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{4}\)+...+\(\dfrac{1}{2015}\)
Tính giá trị \(\dfrac{A}{B}\)
So sánh \(\dfrac{2014}{2015}+\dfrac{2015}{2014}và\dfrac{666665}{333333}\)
Chứng minh
\(Â=\dfrac{2013}{2013+2014}+\dfrac{2014}{2014+2015}+\dfrac{2015}{2015+2016}+\dfrac{2016}{2016+2017}< 2\)
So sánh
A=\(\frac{2015^{2014}+1}{2015^{2014}-1}\) B=\(\frac{2015^{2014}-1}{2015^{2014}-3}\)
\(A=\dfrac{2016^2+1^2}{2016\cdot1}+\dfrac{2015^2+2^2}{2015\cdot1}+\dfrac{2014^2+3^2}{2014\cdot3}+...+\dfrac{1009^2+1008^2}{1009\cdot1008}\)
và \(B=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2017}\)Tìm A/B
Cho S=1+2014+2014^2+2014^3+.........+2014^2013.Cho P =2014^2014/2013.Tính P-S
1.so sánh
a. A=\(\frac{2005^{2005}+1}{2005^{2006}+1}\) và B=\(\frac{2005^{2004}+1}{2005^{2005}+1}\)
b. A=\(\frac{20^{10}+1}{20^{10}-1}\) và B=\(\frac{20^{10}-1}{20^{10}-3}\)
c. A=\(\frac{2009^{2009}+1}{2009^{2010}+1}\) và B=\(\frac{2009^{2010}+2}{2009^{2011}-2}\)
d. A=\(\frac{2013^{2014}+2014}{2013^{2014}-2014}\) và B=\(\frac{2013^{2014}-2014}{2013^{2014}-6042}\)
So sánh: (20142014 + 1) / (20142015+ 1) , (20142015 + 1) / (20142016 + 1)
