|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
=1-1/2+1/2-1/3+1/3-1/4+……+1/2012-1/2013
=1-1/2013
=2012/2013
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
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