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

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 03:52:32

|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