1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊
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![1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊](/uploads/image/z/2704254-6-4.jpg?t=1x1%2F2%2B1%2F2x1%2F3%2B1%2F3x1%2F4%2B1%2F4x1%2F51%2F2009x1%2F2010%E6%80%8E%E4%B9%88%E5%81%9A%E5%95%8A)
1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊
1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊
1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/2009-1/2010) =1-1/2010 =2009/2010 OK?
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2009-1/2010)=1-1/2010=2009/2010