Đề đúng : So sánh : \(\frac{2003}{2004}+\frac{2004}{2005}+\frac{2005}{2006}\)với 3
Ta có :
\(\frac{2003}{2004}< \frac{2004}{2004}=1\)
\(\frac{2004}{2005}< \frac{2005}{2005}=1\)
\(\frac{2005}{2006}< \frac{2006}{2006}=1\)
\(\Rightarrow\frac{2003}{2004}+\frac{2004}{2005}+\frac{2005}{2006}< 1+1+1\)
\(\Rightarrow\frac{2003}{2004}+\frac{2004}{2005}+\frac{2005}{2003}< 3\)
Chúc bạn học tốt !!!