Mathematics, 05.08.2019 22:10 krystalhurst97
Afunction defined on an interval [a, b] or (a, b) is uniformly continuous if for each ϵ> 0 there exists a δ> 0 such that |x−t|< δ implies that |f(x)−f(t)|< ϵ. then it gives a little note saying that δ cannot depend on x, it can only depend on ϵ.with ordinary continuity, the δ can depend on both x and ϵ. i'm just a little lost on why |x−t|< δ implies |f(x)−f(t)|< ϵ, and how δ can't depend on x but only ϵ.
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Afunction defined on an interval [a, b] or (a, b) is uniformly continuous if for each ϵ> 0 there...
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