1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/2007

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/29 12:16:51
1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/20071/(1997×1998)+1/(1998×1

1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/2007
1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/2007

1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/2007
1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×2007)+1/2007
=1/1997-1/1998+1/1998-1/1999+...+1/2006-1/2007+1/2007
=1/1997