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1/(x-1)(x+1)+1/(x+1)(x+3)+1/(x+3)(x+5)+1/(x+5)(x+7)+1/(x+7)(x+9)+1/(x+9)(x+11)

分类: 作业答案 • 2022-02-03 09:32:51
问题描述：

1/(x-1)(x+1)+1/(x+1)(x+3)+1/(x+3)(x+5)+1/(x+5)(x+7)+1/(x+7)(x+9)+1/(x+9)(x+11)
x=√3-5
化简求值

答

1/(x-1)(x+1)+1/(x+1)(x+3)+1/(x+3)(x+5)+1/(x+5)(x+7)+1/(x+7)(x+9)+1/(x+9)(x+11)=(1/2)×[1/(x-1)-1/(x+1)+1/(x+1)-1/(x+3)+1/(x+3)-1/(x+5)+1/(x+5)-1/(x+7)+1/(x+7)-1/(x+9)+1/(x+9)-1/(x+11)]=(1/2)×(1/(x-1)...

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