Câu hỏi 24
Tính giá trị của
$$\begin{aligned}
&\frac{\frac12-\frac13}{\frac13-\frac14}\times\frac{\frac14-\frac15}{\frac15-\frac16}\times\frac{\frac16-\frac17}{\frac17-\frac18}\\
&\quad\times\cdots\times\frac{\frac1{2004}-\frac1{2005}}{\frac1{2005}-\frac1{2006}}\times\frac{\frac1{2006}-\frac1{2007}}{\frac1{2007}-\frac1{2008}}.
\end{aligned}$$
$$\begin{aligned}
&\frac{\frac12-\frac13}{\frac13-\frac14}\times\frac{\frac14-\frac15}{\frac15-\frac16}\times\frac{\frac16-\frac17}{\frac17-\frac18}\\
&\quad\times\cdots\times\frac{\frac1{2004}-\frac1{2005}}{\frac1{2005}-\frac1{2006}}\times\frac{\frac1{2006}-\frac1{2007}}{\frac1{2007}-\frac1{2008}}.
\end{aligned}$$