解：原式=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001
原式=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001
(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001
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