A proof of today's @AnalysisFact tweet.
The series expansion for arctan(x) & an infinite series for π.pic.twitter.com/twTXKGtIay
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Rereading what I wrote, I should have said it's "normally derived" using calculus, not "trivial". The method you used is clever and not obvious.
Indeed, I certainly found it clever the first time I saw it.
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