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Why certain integrals are ``impossible'.
Introduction Elementary Functions and fields Liouville’s Theorem An example Probability Central Limit Theorem Φ(x)=1 √ 2π! x e−u2/2 du For probability applications, we needΦ(∞) = 1.This is not proved by finding a formula forΦ(x) (by findingan explicit antiderivative of e−u2/2) and taking the limit as x →∞.
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