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![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1-\frac{1}{97}\right)x\left(1-\frac{1}{98}\right)x...x\left(1-\frac{1}{1000}\right)\)
\(\frac{96}{97}\cdot x\cdot\frac{97}{98}\cdot x\cdot...\cdot x\cdot\frac{999}{1000}\)
\(\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}\cdot x^{903}\)
\(\frac{96}{1000}\cdot x^{903}\)
\(\frac{12}{125}\cdot x^{903}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{3}{2}\cdot\frac{4}{3}\cdot.....\cdot\frac{2014}{2013}\)
\(=\frac{2}{2013}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
B=3/2x4/3x...........x2018/2017
=3x4x5x...........x2018/2x3x2x2x............x2017
=2x2018
=4036
A,C tương tự
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
\(B=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).......\left(1-\frac{1}{2004}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{2003}{2004}\)
\(=\frac{1}{2004}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x...x\frac{2006}{2007}=\frac{1}{2007}\)
k nha bạn
![](https://rs.olm.vn/images/avt/0.png?1311)
(1-1/97),(1-1/98).....(1-1/1000)
=96/97.97/98.....999/1000
=(96.97...999)/(97.98...1000)
=96/1000=12/125
Dấu . Là dấu nhân nhé
=\(\frac{96}{97}\)x\(\frac{97}{98}\)x...x\(\frac{999}{1000}\)
triệt tiêu đi ta có:
=\(\frac{96}{1000}\)=\(\frac{12}{125}\)
tick nhé!!