Question

So sánh : \(\frac{1999×2000}{1999×2000+1}\)và \(\frac{2000×2001}{2000×2001+1}\)

Answer 1

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

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

Answer 2

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

Answer 3

Déo làm nhờ ai