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问题: /1-1/2\+/1/2-1/3\+/1/3-1/4\+......+/1/99/-1/100\

解答:

(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100
=1-1/100
=99/100