1)
Ta có:
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{2018}\right)\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{2017}{2018}\)
\(=\frac{1\times2\times3\times...\times2017}{2\times3\times4\times...\times2018}\)
Đơn giản hết sẽ còn: \(\frac{1}{2018}\)