(1-1/97)*(1-1/98)*.....*(1-1/1000) =?
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
(1-1/97)*(1-1/98)*...(1-1/1000)
= 96/97*97/98*...*999/1000
= 96/1000 = 49/500
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1-\frac{1}{97}\right)\times\left(1-\frac{1}{98}\right)\times...\times\left(1-\frac{1}{1000}\right)\)
\(=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}\)
\(=\frac{96\times97\times...\times999}{97\times98\times...\times1000}\)
\(=\frac{96}{1000}\)
\(=\frac{12}{125}\)
_Chúc bạn học tốt_
\(\left(1-\frac{1}{97}\right)\cdot\left(1-\frac{1}{98}\right)\cdot...\cdot\left(1-\frac{1}{1000}\right)\)
\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{99}{1000}\)
\(=\frac{96}{1000}=\frac{12}{125}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
= \(\frac{96}{97}\)x \(\frac{97}{98}\)x ... x \(\frac{999}{1000}\)
= \(\frac{96x97x...x999}{97x98x...x1000}\)
= \(\frac{96}{1000}\)
= \(\frac{12}{125}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
( 1- 1/97) x ( 1- 1/98) x … x ( 1-1/1000)
= 96/97 x 97/98 x ….x 999/1000
= 96/1000
= 12/125
(1-1/97)x(1-1/98)x....x(1-1/1000)
=96/97 x 97/98 x ... x 999/1000
= 96/1000
= 12/125
\(\left(1-\frac{1}{97}\right)\left(1-\frac{1}{98}\right)....\left(1-\frac{1}{1000}\right)\)
\(=\frac{96}{97}\times\frac{97}{98}\times....\times\frac{999}{1000}\)
\(=\frac{96\times97\times.....\times999}{97\times98\times....\times1000}\)
\(=\frac{96\times\left(97\times98\times....\times999\right)}{\left(97\times98\times.....\times999\right)\times1000}=\frac{96}{1000}=\frac{12}{125}\)
\(=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}=\frac{96}{1000}=0,096\)