Question

Tính :

\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{2014}\right)\)

Answer 1

\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{2013}{2014}=\frac{1.2.3.4.....2013}{2.3.4.5.....2014}=\frac{1}{2014}\)

Ai thấy đúng thì ủng hộ nha !!!!

Answer 2

\(A=\frac{1}{2}.\left(\frac{2}{3}\right).\left(\frac{3}{4}\right).....\left(\frac{2013}{2014}\right)\)

Rút ra ta có:

\(A=\frac{1}{2014}\)

Chúc em học tốt^^

Answer 3

\(=\frac{1.2.3.4.5.....2013}{2.3.4.5......2013.2014}\)

Sau đó rút ra em nhé