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The answer is the sum of an infinite series. To see what it is, observe that the successive offers follow an orderly pattern: 24: his asking price: 12 = 24 − 12: ... Von Neumann would have found it ...
Also Erdminnelchen asked, if the harmonic series is infinite and 1 plus 1/2 plus 1/4 plus 1/8 and so in is finite, is there an infinite sum between those sums when is on the edge of being infinite ...