作业帮|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2009-1/2008|
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/07 07:45:41
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2009-1/2008|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2009-1/2008|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2009-1/2008|
|1/2009-1/2008|+|1/2008-1/2007|+……+|1/3-1/2|+|1/2-1|
=1/2008-1/2009+1/2007-1/2008+……+1/2-1/3+1-1/2
=1-1/2009
=2008/2009
-2008/2009
1/2009 - 1
1-1/2+1/2-1/3+1/3-1/4.........1/200-1/2009
=1+(-1/2+1/2)..............-1/2009
=1-1/2009=2008/2009
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2009-1/2008|
=1-1/2+1/2-1/3+1/3-1/4+……+1/2008-1/2009
=1-1/2009
=2008/2009