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Assume that f: [0,infinity) -> R is continuous at every point of its domain. Show that if there exists a b>0 so that f is uniformly continuous on the set [b,infinity) then f is uniformly continuous on [0,infinity).

I don't really know where to start with this one, any help would be greatly appreciated

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# F: [0,infinity) -> R is continuous at every point of its domain

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