- #1

rainwyz0706

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## Homework Statement

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, ∞).

## Homework Equations

## 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!