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化简 1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x)-3)(x-4)+…+1/(x-9)(x-
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人气:117 ℃ 时间:2020-10-02 02:41:26
解答
1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x)-3)(x-4)+…+1/(x-9)(x-10)=-[1/(x-1)-1/(x-2)+1/(x-2)-1/(x-3)+.+1/1/(x-9)-1/(x-10)]=-[1/(x-1)-1/(x-10)]=-[(x-10)-(x-1)]/[(x-10)-(x-1)]=-(-9)/(x^2-11x+10)...
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