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the metric for function values in are less than ) that depends on only while in continuity there is a locally applicable that depends on the both and . Continuity is a local property of a function -- that is, a function is continuous, or not, at a particular point of the function domain , and this can be determined by looking at only the values of the function in an arbitrarily small neighbourhood of that point. When we speak of a function being continuous on an interval, we mean that

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