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1x1/2+1/2x1/3+1/3x1/4+1/4x1/51/2009x1/2010怎么做啊1x1/2+1/
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