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

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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)