智慧题1/(x-1)(x-2)+1/(x-2)(x-3)+.+1/(x-2004)(x-2005)等于多少

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/12 11:36:42

1/(x-1)(x-2)+1/(x-2)(x-3)+.+1/(x-2004)(x-2005)
=1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+.+1/(x-2005)-1/(x-2004)
=1/(x-2005)-1/(x-1)
=2004/[(x-2005)(x-1)]

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