Ta có:
\(A=\frac{2010^{2011}+1}{2010^{2012}+1}\)
\(2010A=\frac{2010^{2012}+2010}{2010^{2012}+1}\)
\(2010A=1+\frac{2009}{2010^{2012}+1}\)
Lại có:
\(B=\frac{2010^{2010}+1}{2010^{2011}+1}\)
\(2010B=\frac{2010^{2011}+2010}{2010^{2011}+1}\)
\(2010B=1+\frac{2009}{2010^{2011}+1}\)
Vì \(1+\frac{2009}{2010^{2012}+1}< 1+\frac{2009}{2010^{2011}+1}\)
nên 2010A < 2010B
hay A < B
Vậy A < B
So sánh:\(A=\frac{2010^{2011}+1}{2010^{2012}+1};B=\frac{2010^{2010}+1}{2010^{2011}+1}\)
So sánh : \(\frac{1}{1+\frac{2010}{2011}+\frac{2010}{2012}}+\frac{1}{1+\frac{2011}{2010}+\frac{2011}{2012}}+\frac{1}{1+\frac{2012}{2011}+\frac{2012}{2010}}\) và \(\frac{2016}{2017}\)
cho A=\(\frac{2010^{2011}+1}{2010^{2012}+1}\) và B=\(\frac{2010^{2010}+1}{2010^{2011}+1}\)
So sánh A và B
So Sánh \(A=\frac{2010^{2011}+1}{2010^{2012}+1}\)và \(B=\frac{2010^{2010}+1}{2010^{2011}+1}\)
Cho:
\(A=\frac{2010^{2011}+1}{2010^{2012}+1}\) Và \(B=\frac{2010^{2010}+1}{2010^{2011}+1}\)
So sánh A và B
So sánh A và B biết
A=\(\frac{2009}{2010}+\frac{2010}{2011}+\frac{2011}{2012}\)
B=\(\frac{2009+2010+2011}{2010+2011+2012}\)
1.So sánh A và B:
\(A=\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2010}\)và \(B=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+..........+\frac{1}{17}\)
Cho A=2010^2011+1/2010^2010+1, B=2010^2012+1/2010^2011
So sánh A và B
Giúp mk nhé mai thi rồi !Cảm ơn
So sánh P và Q biết : P = 2010/2011 + 2011/2012 + 2012/2013 và Q = 2010+2011+2012/ 2011 +2012+2013
Chứng tỏ N < 1 với N = \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{2009^2}+\frac{1}{2010^2}\)
