Ta có:
\(B=\dfrac{2009^{2010}-2}{2009^{2011}-2}\)
\(B< \dfrac{2009^{2010}-2+2011}{2009^{2011}-2+2011}\)
\(B< \dfrac{2009^{2010}+2009}{2009^{2011}+2009}\)
\(B< \dfrac{2009\left(2009^{2009}+1\right)}{2009\left(2009^{2010}+1\right)}\)
\(B< \dfrac{2009^{2009}+1}{2009^{2010}+1}\)
Mà \(A=\dfrac{2009^{2009}+1}{2009^{2010}+1}\)
\(\Rightarrow B< A\)
BT1: Tính:
\(\frac{1}{1+\frac{2009}{2009}+\frac{2009}{2010}}\) + \(\frac{1}{1+\frac{2010}{2009}+\frac{2010}{2011}}\) + \(\frac{1}{1+\frac{2011}{2009}+\frac{2011}{2010}}\)
So sánh:
A = 2009 . 2011 và B = 20102
\(A=\dfrac{5^{2011}-5^{2010}+5^{2009}-5^{2008}+....+5-1}{5^{2013}-5^{2012}+5^{2011}-5^{2010}+....+5-1}\) \(B=\dfrac{5^{2009}-5^{2008}+5^{2007}-5^{2006}+....+5-1}{5^{2011}-5^{2010}+5^{2009}-5^{2008}+....+5-1}\)
So sánh A và B
SS
A = \(\dfrac{2009^{2008}+1}{2009^{2009}+1}\) và B = \(\dfrac{2009^{2009}+1}{2009^{2010}+1}\)
Tính B=1-2-3+4+5-6-7+8+......+2009-2010-2011+2012
cho biểu thức :
A=\(\dfrac{1+9+9^2+...+9^{2010}}{1+9+9^2+...+9^{2009}}\)
B=\(\dfrac{1+5+5^2+...+5^{2010}}{1+5+5^2+...+5^{2009}}\)
Hãy so sánh A và B
tìm x biết x+1/2011+x+2/2010+x+3/2009+x+4/2008 =-4
So sánh A với B :
A=2009^2008-1/2009^2009-1
B=2009^2007+1/2009^2008+1
trình bày ra nhé ^-^
Cho: a = \(\frac{2008}{2009}\) ; b = \(\frac{2009}{2008}\) ; c = \(\frac{1}{2009}\) ; d = \(\frac{2007}{2008}\)
Tìm : a - b+c+d