作业帮|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：2024/05/11 21:40:57
|1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|
|1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|
|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