I'm really not a π day hater, but I do roll my eyes when I read articles exclaiming π "goes on forever!" as if that is a rare and notable property that makes it unique among numbers. I mean, 1/3 "goes on forever" too.
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That's pi*cot(pi*x), you can prove it using complex analysis
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Some Googling says this was first discovered by Euler (presumably using methods other than complex analysis)
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