1/(1997×1998)+1/(1998×1999)+1/(1999×2000)+.1/(2005×2006)+1/(2006×_数学解答

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

人气：352 ℃　时间：2020-04-22 14:42:43

解答

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