Writing e^π in two different ways yields a statement I would never believe, were it just handed to me.pic.twitter.com/pNhQxMwmGR
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Indeed there is nothing special about π. Perhaps a better phrasing would have been: it's amazing how a juggling of notation can cause you to double take.pic.twitter.com/A1pApKFjDU
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For example, the √2th root of √2. Trivial to prove, yet still somewhat mystical looking.pic.twitter.com/jhgr3Jmg0W
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Note that the equation is correct, but the caption should say the "√2th root of 2", not what is written.
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Taylor series expansion of exp(x)
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indeed.. I'm saying just to kind of look at it with fresh eyes .. it surely seems a bit odd
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If you write out the series for e^(x+y) on the left, and for (e^x)(e^y) on the right (using the Cauchy product), and collecting terms of degree k, you recover the binomial formula
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