(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?

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(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?
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(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?
(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?

(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?
(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)=?
=(-49/50)(-48/49)(-47/48)...(-2/3)(-1/2)
=-1/50
共有49项,所以是负数,中间数都交叉约去了

(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)
=[50*(1/50-1)(1/49-1)(1/48-1)…(1/3-1)(1/2-1)]/50
=[49*(1/49-1))(1/48-1)…(1/3-1)(1/2-1)]/50
......
=2*(1/2-1)/50
=-1/50
乘上一个50 再除以一个50 ,就是乘上一个 1 。还对啊?^_^