(1-1/2)(1-1/3)...(1-1/999)(1-1/1000)

来源：学生作业帮助网编辑：六六作业网时间：2024/12/20 10:24:59

(1-1/2)*(1-1/3)*...*(1-1/999)*(1-1/1000)(1-1/2)*(1-1/3)*...*(1-1/999)*(1-1/1000)(1-1/2)*(1-1/3)*...*

(1-1/2)*(1-1/3)*...*(1-1/999)*(1-1/1000)
(1-1/2)*(1-1/3)*...*(1-1/999)*(1-1/1000)

(1-1/2)*(1-1/3)*...*(1-1/999)*(1-1/1000)
原式=1/2*2/3*3/4*……*998/999*999/1000
=1/1000

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