|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
来源：学生作业帮助网 编辑：六六作业网 时间：2024/05/10 00:56:58
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009||1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009||1/3-1/2|+|1/4-1/3|+..
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2009-1/2010
=1/2-1/2010
=(1005-1)/2010
=1004/2010
=502/1005