|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|

问题描述:

|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