问题标题:
求1/x(x+3)+1/(x+3)(x+6)+...+1/(x+27)(x+30)
问题描述:
求1/x(x+3)+1/(x+3)(x+6)+...+1/(x+27)(x+30)
潘甫生回答:
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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