Question

Tính (1-1/2)x(1-1/3)x(1-1/4)x( 1-1/5)x .........( 1-1/2015)x(1-1/2016)

Answer 1

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)..........\left(1-\frac{1}{2016}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.........\frac{2015}{2016}\)

\(=\frac{1.2.......2015}{2.3.......2016}\)

\(=\frac{1}{2016}\)

Answer 2

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)........\left(1-\frac{1}{2016}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.......\frac{2015}{2016}=\frac{1}{2016}\)