计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011

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计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011计算:1/1x2+1/2x3+1/3x4+.+1/2010X20

计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011
计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011

计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011
1/1x2+1/2x3+1/3x4+.+1/2010X2011
=1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011
=1-1/2011=2010/2011

1/1x2+1/2x3+1/3x4+......+1/2010X2011
=1-1/2+1/2-1/3+...+1/2010-1/2011
=1-1/2011
=2010/2011

1/1x2+1/2x3+1/3x4+......+1/2010X2011
=1-½+½-1/3+1/3-¼+······+1/2010-1/2011
=1-1/2011
=2010/2011