|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/24 16:38:48
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012||1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012||1/2-1|+
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2013-1/2012|
|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