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For each of the following, decide if the function is uniformly continuous or not. In either case, give a proof using just the definition

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For each of the following, decide if the function is uniformly continuous or not. In either case, give a proof using just the definition in terms of e and 6. 1. f(x)=+1 on (0,1). 2. g(x)=on [0,+x). 3. h(x)=on (0,1).

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