陈家祠附近租房:1/1*2+1/2*3+1/3*4+...+1/2000*2001

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怎么算呀??帮帮忙..!!THX

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

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