Question

Tính:

(1-1/9). (1-2/9). (1-3/9)... (1-2005/9)

Answer 1

\(\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)\cdot...\cdot0\cdot...\cdot\left(1-\dfrac{2005}{9}\right)=0\)

Answer 2

\(\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...0...\left(1-\dfrac{2005}{9}\right)=0\)