1/1x2+1/2x3+...+1/2009x2010+1/2010+2011怎么解
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![1/1x2+1/2x3+...+1/2009x2010+1/2010+2011怎么解](/uploads/image/z/11461169-65-9.jpg?t=1%2F1x2%2B1%2F2x3%2B...%2B1%2F2009x2010%2B1%2F2010%2B2011%E6%80%8E%E4%B9%88%E8%A7%A3)
1/1x2+1/2x3+...+1/2009x2010+1/2010+2011怎么解
1/1x2+1/2x3+...+1/2009x2010+1/2010+2011怎么解
1/1x2+1/2x3+...+1/2009x2010+1/2010+2011怎么解
1/1x2+1/2x3+...+1/2009x2010+1/2010x2011
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/2009-1/2010)+(1/2010-1/2011)
=1+1/2011
=2012/2011