Hi, I have to approximate an irrational number x by rationals r = p/q.(adsbygoogle = window.adsbygoogle || []).push({});

Let ε>0 in ℝ, then, for almost all x exist α and r in (x-ε,x+ε) such that q ≈ c(x) ε^-α, c(x) in ℝ?

I know, from Hurwitz theorem (and a conseguence) that α>2, if exists.

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# Order of error for rational approximation of irrationals

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