(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that if h is continuous on [0, ∞) and uniformly continuous on [a, ∞),

for some positive constant a, then h is uniformly continuous on [0, ∞).

2. Relevant equations

3. The attempt at a solution

I'm thinking of using the epsilon-delta definition of continuity and look at two cases: 1. x>a, 0<y<a. 2. 0<x,y<a. but I'm not exactly sure if that works. Could anyone please give me some hints? Any help is appreciated!

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# Homework Help: Uniform continuity

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