x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/01 01:49:29
x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一
x)5|dgQm yAQ2 Kh)CMR>&PO?ok~OmhC}b#M]0P3VfDd\hv,0[~qAbԙ6`P2h؄PX1T(a.f$,!dۯ

x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一
x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一

x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一
原式=1/(x-1) + [1/(x-2) - 1/(x-1)] +……+[1/(x-101) - 1/(x-100)]
=1/(x-101)

1/(X-1)+[1/(X-2)-1/(X-1)]+[1/(X-3)-1/(X-2)]+……+[1/(x-101)-1/(x-100)]
=1/(X-1)+1/(X-2)-1/(X-1)+1/(X-3)-1/(X-2)+……+1/(x-101)-1/(x-100)
=1/(X-101)