Tính
A=(1-1/2010).(1-2/2010).(1-3/2010). ... .(1-2011/2010)
A=2010^2011+1/2010^2012+1B=2010^2010+1/2010^2011+1SO SANH A VA B.
cho A=20102011+1 B=20102000+1
_________ và __________
20102012+1 20102011+1
So sánh A và B
1.tính tổng
a. A=\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{20}\right)\)
b. B=\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right).....\left(1-\frac{2011}{2010}\right)\)
1,so sánh A và B biết:A=\(\dfrac{2010}{2011}+\dfrac{2011}{2012}+\dfrac{2012}{2010};B=\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+...+\dfrac{1}{17}\)
1,
a,tính:\(\dfrac{\dfrac{7}{2012}+\dfrac{7}{9}-\dfrac{1}{4}}{\dfrac{5}{9}-\dfrac{1}{2012}-\dfrac{1}{2}}\)
b,so sánh:A=\(\dfrac{2010}{2011}+\dfrac{2011}{2012}+\dfrac{2012}{2010};B=\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+...+\dfrac{1}{17}\)
1 - 2 + 3 - 4 + 5 - 6 + ............ + 2009 - 2010 + 2011
So sánh A=2013^2010+1/2013^2011+1;B=2013^2011-2/2013^2012-2
\(\left(1-\frac{1}{2010}\right)\cdot\left(1-\frac{2}{2010}\right)\cdot\left(1-\frac{3}{2010}\right)\cdot....\cdot\left(1-\frac{2012}{2010}\right)\)