分类：教育/科学-理工学科-数学
问题：帮忙看一下,|1
|1-1/2|+|1/2-1/3|+|1/3-1/4|........|1/2009-1/2008|=???
回答：|1-1/2|+|1/2-1/3|+|1/3-1/4|........|1/2009-1/2008|
=1-1/2+1/2-1/3+1/3-1/4...........+1/2008-1/2009
=1-1/2009
=2008/2009