Question

So sánh: A = \(\dfrac{2003.2004-1}{2003.2004}\)

B = \(\dfrac{2004.2005-1}{2004.2005}\)

Answer 1

\(A=\dfrac{2003.2004-1}{2003.2004}=1-\dfrac{1}{2003.2004}\)

\(B=\dfrac{2004.2005-1}{2004.2005}=1-\dfrac{1}{2004.2005}\)

So sánh: \(\dfrac{1}{2003.2004}>\dfrac{1}{2004.2005}\)

\(\Rightarrow-\dfrac{1}{2003.2004}< -\dfrac{1}{2004.2005}\\ \Rightarrow1-\dfrac{1}{2003.2004}< 1-\dfrac{1}{2004.2005}\\ Hay.A< B\)