So sánh \(A=\dfrac{2008^{2009}+2}{2008^{2009}-1};B=\dfrac{2008^{2009}}{2008^{2009}-3}\)
Tính:
D =\(\dfrac{\dfrac{2010}{1}+\dfrac{2009}{2}+\dfrac{2008}{3}+...+\dfrac{1}{2010}}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2011}}\)
Cho : A = \(\dfrac{2009^{2010}+1}{2009^{2009}+1}\)
B = \(\dfrac{2009^{2011}-2}{2009^{2010}-2}\)
Hãy so sánh A và B
Bài 1:
a. Cho a, b, m thuộc N*. So sánh 2 phân số \(\dfrac{a}{b}\) và \(\dfrac{a+m}{b+m}\)
b. Áp dụng so sánh: A = \(\dfrac{10^{1992}+1}{10^{1991}+1}\) và B = \(\dfrac{10^{1993}+1}{10^{1992}+1}\)
C = \(\dfrac{2010^{2008}+1}{2010^{2009}+1}\) và D = \(\dfrac{2010^{2007}+1}{2010^{2008}+1}\)
So sánh S với 2 biết :
S = \(\dfrac{1}{2}+\dfrac{2}{2^2}+\dfrac{3}{2^3}+...+\dfrac{2017}{2^{2017}}\)
So sánh A vs \(\dfrac{3}{4}\)
Cho A= \(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+......+\dfrac{1}{200^2}\)
Tính:
\(S=\dfrac{2}{2}+\dfrac{2}{6}+...+\dfrac{2}{2016}+\dfrac{2}{2080}\)
CÁC BN GIÚP MK VS SẮP ĐI HK RÙI THANKS
Cho A= (\(\dfrac{1}{2^2}\)-1).(\(\dfrac{1}{3^2}\)-1)...(\(\dfrac{1}{100^2}\)-1) So sánh A vs -\(\dfrac{1}{2}\)
Cho \(S=\dfrac{2}{2005+1}+\dfrac{2^2}{2005^2+1}+\dfrac{2}{2005^{2^2}+1}+................+\dfrac{2^{n+1}}{2005^{2^n}+1}+..........+\dfrac{ }{2005^{2^{2005}}+1}\)
So sánh \(S\) với \(\dfrac{1}{1002}\)
Help me!!!!!!!!!!!!