|1/2008-1/2007|+|1/2007-1/2006|+|1/2006-1/2005|+|1/2005-1/2004|+……+|1/3-1/2|+|1/2-1|

问题描述:

|1/2008-1/2007|+|1/2007-1/2006|+|1/2006-1/2005|+|1/2005-1/2004|+……+|1/3-1/2|+|1/2-1|

|1/2008-1/2007|+|1/2007-1/2006|+|1/2006-1/2005|+|1/2005-1/2004|+……+|1/3-1/2|+|1/2-1| =1-1/2+1/2-1/3+……+1/2004-1/2005+1/2005-1/2006+1/2006-1/2007+1/2007-1/2008=1-1/2008=2007/2008