2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)=?简算

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 13:30:34
2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)=?简算

2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)=?简算
2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)=?
简算

2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)=?简算
2008/(1998*1999)+2008/(1999+2000)+…2008/(2007+2008)
=2008*(1/(1998*1999)+1/(1999+2000)+…+1/(2007+2008))
=2008*(1/1998-1/1999+1/1999-1/2000+…+1/2007-1/2008)
=2008*(1/1998-1/2008)
=2008/1998-1
=10/1998
=5/999