求解初二下册题:求1/(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)……1/(x+2008)(x+2009)的值.

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/19 01:56:52

求解初二下册题:求1/(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)……1/(x+2008)(x+2009)的值.

1/(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)……1/(x+2008)(x+2009)
=1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3).+1/(x+2008)-1/(x+2009)
=2/(x+1)-1/(x+2009)