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

来源：学生作业学帮网编辑：学帮网时间：2024/05/29 00:02:53

|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