|1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/24 02:20:47

|1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|

=1-1/2+1/2-1/3+1/3-1/4+…+1/2003-1/2004
=1-1/2004
=2003/2004