For all x>0
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“A Mathematician who is not also something of a poet will never be a complete mathematician.” -Karl Weierstrasspic.twitter.com/KvaqHeajC0
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What if you put x = 0 !
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Ah, nice catch. I should mention that this formula is good only for x>0
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now that's a fact
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In an obituary Albert Einstein wrote for Emmy Noether in the NY Times he said: "Pure mathematics is, in its way, the poetry of logical ideas." http://www-history.mcs.st-andrews.ac.uk/Obits2/Noether_Emmy_Einstein.html …
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Interestingly, if you take the limit as x approaches zero, you can define sqrt(pi) as the right hand side without the e^(-x^2)/2 in front. That in itself is amazing
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I’ve seen continued fraction expansions for π but not for its square root! What if we take the square root of Wallis’ formula for π?
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I’ve never seen that before (I don’t mean the Weierstrass quote ;-)
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