A=2010^2011+1/2010^2012+1B=2010^2010+1/2010^2011+1SO SANH A VA B.
A=2010^2011+1/2010^2012+1
B=2010^2010+1/2010^2011+1
SO SANH A VA B
A = 20102011+1/ 20102012+1 < 20102011+1 + 2009 / 20102012+1+2009
= 20102011+2010/20102012+2010
=2010(2010^2010+1) / 2010(2010^2011+1)
= 2010^2010 + 1 / 2010^ 2011 +1 = B
=> A < B
Như vậy mới đúng nè
Ta có B=2010^2010 + 1/ 2010^2011 + 1 < 2010^2010+1+9/2010^2011+1+9=2010^2011+1/2010^2012+1
Vậy B<A
So sanh:
A = 20102011+1 phan 20102012+1 va B =20102010+1 phan 20102011+1
\(A=\frac{2010^{2011}+1+2009}{2010^{2012}+1+2009}=\frac{2010^{2011}+2010}{2010^{2012}+2010}=\frac{2010\left(2010^{2010}+1\right)}{2010\left(2010^{2011}+1\right)}\)\(=B\)
So sanh A va B biet A=2010/2011+2011/2012+2012/2010 va B=1/3+1/4+1/5+....+1/17
so sanh (20102011+1)/(20102012+1)va( 20102010+1)/(20102011+1)
so sanh (20102011+1)/(20102012+1)va( 20102010+1)/(20102011+1)
so sanh p va q biet
p=2010/2011+2011/2012+2012/2013
q=2010+2011+2012/2011+2012+2013
ta có:Q=2010+2011+2012/2011+2012+2013=2010/2011+2012+2013+2011/2011+2012+2013+2012/2011+2012+2013
=> P>2010/2011+2012+2013
P>2011/2011+2012+2013
P>2012/2011+2012+2013
=>P>Q
So sanh P va Q
P=\(\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}\)
Q=\(\frac{2010+2011+2012}{2011+2012+2013}\)
so sanh :
a=2010 /2011 +2011/2012 +2012/2013
b =2010+2011+2012 /2011 +20120 +2012
so sanh 1/51+1/52 +1/53 +.......+1/60 voi:
a .1/5
b.1/6
tra loi nhanh ho minh nha !
a < b k mình nha xong mình k lại cho
a)
Ta có a > b vì b > 3 còn a < 3
b)
a. Ta có : 1/51 + 1/52 + 1/53 +...+ 1/60 < 1/51 x 10 < 1/50 x 10 = 1/5
=> 1/51 + 1/52 +1/53 +...+1/60 < 1/5
b. Ta có : 1/51 + 1/52 + 1/53 +...+ 1/60 > 1/60 x 10 = 1/6
=> 1/51 + 1/52 +1/53 +...+ 1/60 > 1/6
a﴿
Ta có a > b vì b > 3 còn a < 3
b﴿
a. Ta có : 1/51 + 1/52 + 1/53 +...+ 1/60 < 1/51 x 10 < 1/50 x 10 = 1/5
=> 1/51 + 1/52 +1/53 +...+1/60 < 1/5
b. Ta có : 1/51 + 1/52 + 1/53 +...+ 1/60 > 1/60 x 10 = 1/6
=> 1/51 + 1/52 +1/53 +...+ 1/60 > 1/6
Bài 1: So sanh biểu thức A với 4 biết :A= 2010 /2009+ 2011 /2010+ 2012/ 2011+ 2009/2012