|1-1/2|+|1/2-1/3|+|1/3-1/4|+|14/-+···+|1/2012-1/2013|+|1/2013-1/2014|=?

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|1-1/2|+|1/2-1/3|+|1/3-1/4|+|14/-+···+|1/2012-1/2013|+|1/2013-1/2014|=?
|1-1/2|+|1/2-1/3|+|1/3-1/4|+|14/-+···+|1/2012-1/2013|+|1/2013-1/2014|=?

|1-1/2|+|1/2-1/3|+|1/3-1/4|+|14/-+···+|1/2012-1/2013|+|1/2013-1/2014|=?
可以直接开绝对值啊,然后相邻两项约掉,答案为1-1/2014=2013/2014