|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|
来源：学生作业帮助网 编辑：六六作业网 时间：2024/12/27 04:16:12
|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10||1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10||1-1/2|-|1/2-1/3|-|1
|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|
|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|
|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|
原式=(1-1/2)-(1/2-1/3)-(1/3-1/4)-……-(1/9-1/10)
=1-1/2-1/2+1/3-1/3+1/4-……-1/9+1/10
=1/10