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求1/x(x+3)+1/(x+3)(x+6)+...+1/(x+27)(x+30)
人气:289 ℃ 时间:2020-04-10 13:47:50
解答
1/x(x+3)+1/(x+3)(x+6)+...+1/(x+27)(x+30)
=1/3[(1/x)-1/(x+1)+1/(x+1)-1/(x+6)+...+
1/(x+27)-1/(x+30)]
=1/3[(1/x)-1/(x+30)]
=10/[x(x+30)]
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