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1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))

分类: 作业答案 • 2021-11-30 10:23:33
问题描述：

1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))
很难,难于上青天!
提示：是(x-1)*(x-2)分之一加上.,.是省略号,有关分式加减的

答

1/(x-1)(x-2)=1/(x-2)-1/(x-1)同理1/(x-2)(x-3)=1/(x-3)-1/(x-2)1/(x-3)(x-4)=1/(x-4)-1/(x-3).1/(x-2006)(x-2007)=1/(x-2007)-1/(x-2006)1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))=...

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