Question

So sánh :\(A=\frac{2009^{2008}+1}{2009^{2009+1}}\)

               \(B=\frac{2009^{2009}+1}{2009^{2010}+1}\)

 

Answer 1

umk khong sao bài dk hok thêm ý mà ^-^

Answer 2

Ta có :

\(2009A=\frac{2009\left(2009^{2008}+1\right)}{2009^{2009}+1}=\frac{2009^{2009}+2009}{2009^{2009}+1}=1+\frac{2008}{2009^{2009}+1}\)

\(2009B=\frac{2009\left(2009^{2009}+1\right)}{2009^{2010}+1}=\frac{2009^{2010}+2009}{2009^{2010}+1}=1+\frac{2008}{2009^{2010}+1}\)

Vì \(1+\frac{2008}{2009^{2009}+1}>1+\frac{2008}{2009^{2010}+1}\Rightarrow2009A>2009B\)

=> A > B

Answer 3

\(\frac{2009^{2009}+1}{2009^{2010}+1}< \frac{2009^{2009}+1+2008}{2009^{2010}+1+2008}\)

\(=\frac{2009.\left(2009^{2008}+1\right)}{2009.\left(2009^{2009}+1\right)}\)

\(A< 1\)

\(\Rightarrow A< B\)

k minh nha minh dang can

Answer 4

2009A=\(\frac{2009\left(2009^{2008}+1\right)}{2009+1}=\frac{2009^{2009}+2009}{2009^{2009+1}}=1+\frac{2008}{2009^{2009}+1}\)

2009B=\(\frac{2009\left(2009^{2009}+1\right)}{2009^{2009}+1}=\frac{2009^{2010}+2009}{2009^{2010}+1}=1+\frac{2008}{2009^{2010}+1}\)

Vì 1+\(\frac{2008}{2009^{2009}+1}\)>1+\(\frac{2008}{2009^{2010}+1}\)

-->A>B

TK cho mk nha

Answer 5

               A > B

~~~ Chúc bạn học tốt ~~~

                Hello

Answer 6

A > B

Chúc bạn học tốt

Cách làm giống Đinh Đức Hùng

^.^

Answer 7

Mot tam bien quang cao hinh chu nhat co dien h 9 met vuong .Chieu rong la 12/5.Chu vi tam bien la...

Answer 8

kkkkk dz phải thế

Answer 9

mình xin chịu