简便计算,(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 09:29:43
简便计算,(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)

简便计算,(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)
简便计算,
(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)

简便计算,(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)
(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)/(1/1005+1/1006+1/1007+…1/2007+1/2008)
=[1-(1-1/2)+(1/2-1/3)+(1/3-1/4)……+(1/2007-1/2008)]/[1/1005+(1/1005-1/1006)+(1/1006-1/1007)+……+(1/2007-1/2008)]
=(1/2008)/(1/2008)=1
又让我回想起了高中时代啊,

1