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Weirdly, the more standard classroom math you’ve had, the harder it’s going to be to avoid answering in an impoverished way. Such as, e.g., validating a/(1-r) by observing, in the best Calc II tradition, that the relevant geometric series here is a particular subtype of convergent infinite series, and that the sum of such a series is defined as the limit of the sequence of its partial sums (that is, if the sequence s1, s2, s3, …, sn , … of a series’ partial sums tends to a limit S, then S is the sum of the series), and that sure enough, w/r/t the above series, Lim (sn) = 1 so a/(1-r) works just fine … in which case you will once again have answered Zeno’s Dichotomy in a way that is complex, formally sexy, technically correct, and deeply trivial. Along the lines of ‘Because it’s illegal’ as an answer to ‘Why is it wrong to kill?
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