Question by Cristiano Ronaldo

Cristiano Ronaldo

19/03/2017 at 11:31

\(\left[1\times\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{5}\right)\times...\times\left(1-\dfrac{1}{2000}\right)\right]\times2000\)

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FA KAKALOTS 03/02/2018 at 12:44

[1(1−12)(1−13)(1−14)(1−15)...(1−12000)]×2000

=12.23.34.45....19992000.2000=1
Phan Thanh Tinh Coordinator 23/03/2017 at 17:57

\(\left[1\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{5}\right)...\left(1-\dfrac{1}{2000}\right)\right]\times2000\)

\(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}....\dfrac{1999}{2000}.2000=1\)

Cristiano Ronaldo

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