计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010

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计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010计算:1/1x2+1/2X3+1/3x4+...+1/2

计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010
计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010

计算:1/1x2+1/2X3+1/3x4+...+1/2009x2010
1/1x2+1/2X3+1/3x4+...+1/2009x2010
=1-1/2+1/2-1/3+1/3-1/4+……+1/2009-1/2010
=1-1/2010
=2009/2010

=1-1/2+1/2-1/3+1/3-1/4....+1/2009-1/2010
=1-1/2010
=2009/2010