计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]

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计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]

计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]
计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]

计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]
把中括号全部打开,-1/2和1/2消掉,-1/3和1/3消掉.

原式=1-1/2000
=1999/2000

2001/2000