mình cần giải nhanh ai giải hộ mình sẽ tick
\(\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times...\times\left(1-\dfrac{1}{100}\right)\)
\(=\dfrac{1}{2}\times\dfrac{2}{3}\times...\times\dfrac{99}{100}\)
\(=\dfrac{1\times2\times...\times99}{2\times3\times...\times100}\)
\(=\dfrac{1}{100}\)
1/2,2/4,3/4,4/5....98/99,99/100=1/100
cich cho minh di
Ta có: \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)\cdot...\cdot\left(1-\dfrac{1}{99}\right)\left(1-\dfrac{1}{100}\right)\)
\(=\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{98}{99}\cdot\dfrac{99}{100}\)
\(=\dfrac{1}{100}\)
