Ta có:

B = \(\frac{2000}{2001+2002}\)+ \(\frac{2001}{2001+2002}\)

Vì \(\frac{2000}{2001}\)> \(\frac{2000}{2001+2002}\)

    \(\frac{2001}{2002}\)> \(\frac{2001}{2001+2002}\)

=> \(\left(\frac{2000}{2001}+\frac{2001}{2002}\right)\)> \(\left(\frac{2000}{2001+2002}+\frac{2001}{2001+2001}\right)\)

=> A>B

Vậy A>B

có:A=2000^2001+1/2000^2002+1

=)2000A=2000^2002+2000/2000^2002+1=2000^2002+1+1999/2000^2002+1

             =1999/2000^2002+1

lại có:B=2000^2000+1/2000^2001+1

=)2000B=2000^2001+2000/2000^2001+1=2000^2001+1+1999/2000^2001+1

             =1999/2000^2001+1

vì 1999/2000^2002+1  <   1999/2000^2001+1

=)2000A   < 2000B hay A<B

Ta có: B = \(\frac{2000+2001}{2001+2002}=\frac{2000}{2001+2002}+\frac{2001}{2001+2002}=\frac{2000}{4003}+\frac{2001}{4003}\)

Ta thấy : \(\frac{2000}{2001}>\frac{2000}{4003}\)(1)

             \(\frac{2001}{2002}>\frac{2001}{4003}\) (2)

Từ (1) và (2) cộng vế với vế, ta được :

  \(\frac{2000}{2001}+\frac{2001}{2002}>\frac{2000}{4003}+\frac{2001}{4003}\)

hay \(A=\frac{2000}{2001}+\frac{2001}{2002}>B=\frac{2000+2001}{2001+2002}\)

Ta có: \(\frac{1999x2000}{1999x2000+1}=\frac{1999x2000+1-1}{1999x2000+1}=1-\frac{1}{1999x2000+1}\)

\(\frac{2000x2001}{2000x2001+1}=\frac{2000x2001+1-1}{2000x2001+1}=1-\frac{1}{2000x2001+1}\)

Nhận thấy: \(\frac{1}{1999x2000+1}>\frac{1}{2000x2001+1}\)=> \(1-\frac{1}{1999x2000+1}< 1-\frac{1}{2000x2001+1}\)

=> \(\frac{1999x2000}{1999x2000+1}=\frac{2000x2001}{2000x2001+1}\)

\(\frac{1999x2000}{1999x2000+1}< \frac{2000x2001}{2000x2001+1}\)

mình lớp5  nhưng mình bt làm

Xét B=\(\frac{2000+2001}{2001+2002}\)\(=\)\(\frac{2000}{2001+2002}\)\(+\)\(\frac{2001}{2001+2002}\)

Mà  \(\frac{2000}{2001}>\frac{2000}{2001+2002}\);     \(\frac{2001}{2002}>\frac{2001}{2001+2002}\)                                                                                                  \(\Rightarrow\)\(\frac{2000}{2001}+\frac{2001}{2002}\)\(>\frac{2000+2001}{2001+2002}\)

Vậy        \(A>B\)

A=1-2000/2001=2001/2001-2000/2001=1/2001

B=1-2000/2001=2001/2001-2000/2001=1/2001

Ta thấy 1/2001=1/2001 Nên 2000/2001=2000/2001

Ta có:B= \(\frac{2000+2001}{2001+2002}=\frac{2000}{2001+2002}+\frac{2001}{2001+2002}\)

Vì \(\frac{2000}{2001}>\frac{2000}{2001+2002}\)và \(\frac{2001}{2002}>\frac{2001}{2001+2002}\)

Nên A>B

A = \(\frac{2000+2001}{2001+2002}\)= \(\frac{4001}{4003}\)

B = \(\frac{2000+2001}{2001+2003}=\frac{4001}{4003}\)

vậy A = B

A=B chứ còn gì

$A=\frac{2000+2001}{2001+2002}$A=2000+20012001+2002 

$B=\frac{2000+2001}{2001+2002}$B=2000+20012001+2002 

=>A=B

ta có:\(A=\frac{2000}{2001}+\frac{2001}{2002}<\frac{2000}{2002}+\frac{2001}{2002}=\frac{2000+2001}{2002}<\frac{2000+2001}{2001+2002}=B\)

\(\Rightarrow A

ta có:\(B=\frac{2000+2001}{2001+2002}=\frac{2000}{2001+2002}+\frac{2001}{2001+2002}\)

vì \(\frac{2000}{2001}>\frac{2000}{2001+2002}và\frac{2001}{2002}>\frac{2001}{2001+2002}\)

\(\Rightarrow\frac{2000}{2001}+\frac{2001}{2002}>\frac{2000+2001}{2001+2002}\)

=>A>B

B=2000/2001+2002 + 2001/2001+2002

Ta có:2000/2001 > 2000/2001+2002

2001/2002 > 2001/2001+2002

Vậy A >B

I DON'T KNOW OKKKKK

2000 .... 2001