|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|=?

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|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|=?

|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|=?
|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|=?

|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|=?
|1/2-1|+|1/3-1/2|+.+|1/2014-1/2013|
=1-1/2+1/2-1/3+.+1/2013-1/2014
=1-1/2014
=2013/2014

|1/2-1|+|1/3-1/2|+.....+|1/2014-1/2013|
=1-1/2+1/2-1/3+……+1/2013-1/2014
=1-1/2014
=2013/2014