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Let H be a finite set of positive integers none of which has a prime factor greater than 3.Show that the sum of the reciprocals of the elements of H is smaller than 3.

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Arnab Kundu ·2011-10-09 08:57:45

Hint: That's because \sum_{k,l \ge 0}^{{}}\frac{1}{2^k 3^l} < 3 Use summation of infinite geometric series.

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