当X=1,Y=2时,那么……1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2009)(y+2009)=_____

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当X=1,Y=2时,那么……1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2009)(y+2009)=_____
当X=1,Y=2时,那么……
1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2009)(y+2009)=_____

当X=1,Y=2时,那么……1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2009)(y+2009)=_____
=1+1/2-1/3+...+1/2010-1/2011
=1-1/2011
=2010/2011

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