Question

Tinhs giá trị biểu thức :

a) (1 - \(\frac{1}{2}\)) x ( 1 - \(\frac{1}{3}\)) x ( 1 -\(\frac{1}{4}\)) x .................x (1 - \(\frac{1}{2016}\)) x (1 - \(\frac{1}{2017}\))

gips mk nha mk đang cần gấp mk hứa sẽ like mỗi ngày

Answer 1

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\cdot\cdot\cdot\cdot\cdot\frac{2016}{2017}\)

\(=\frac{1.2........2016}{2.3.............2017}\)

\(=\frac{1}{2017}\)

Answer 2

a) \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(x-\frac{1}{4}\right).....\left(1-\frac{1}{2016}\right).\left(1-\frac{1}{2017}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}......\frac{2015}{2016}.\frac{2016}{2017}=\frac{1}{2017}\)