Question

(1-1/2)(1-1/3)(1-1/4)...(1-1/2018)

 

Answer 1

(1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/2018)

= 1/2 . 2/3 . 3/4 ... 2017/2018

= 1.2.3...2017/2.3.4...2018

= 1/2018

Answer 2

\(\left(\frac{1-1}{2}\right)\left(\frac{1-1}{3}\right)\left(\frac{1-1}{4}\right)...\left(\frac{1-1}{2018}\right)\)

=\(\frac{0}{2}.\frac{0}{3}.\frac{0}{4}...\frac{0}{2018}\)

=0