I'm a pretty low-key annotator but I did write this in the margins of @stevenstrogatz's Infinite Powers.pic.twitter.com/2ze822F1a0
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I've always loved Leibniz's approach to summing a geometric series, in which he achieves his goal by seeming to abandon it; he passes from the sequence of powers to its sequence of differences, which he sums easily, via telescopic cancellation. And then he notes that he's done!