|1-1/2|+|1/3-1/2|+|1/4+1/3|+…+|1/2006-1/2005| 请计算,注:| |为绝对值快

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|1-1/2|+|1/3-1/2|+|1/4+1/3|+…+|1/2006-1/2005| 请计算,注:| |为绝对值快
|1-1/2|+|1/3-1/2|+|1/4+1/3|+…+|1/2006-1/2005| 请计算,注:| |为绝对值

|1-1/2|+|1/3-1/2|+|1/4+1/3|+…+|1/2006-1/2005| 请计算,注:| |为绝对值快
去绝对值
原式=1-1/2+1/2-1/3+1/3-1/4+……+1/2005-1/2006
=1-1/2006
=2005/2006

|1-1/2|+|1/3-1/2|+|1/4+1/3|+…+|1/2006-1/2005|
=1-1/2+1/2-1/3+1/3-1/4.....+1/2005-1/2006
=1-1/2006
=2005/2006