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111. Every absolutely continuous function is(a) continuous(b) constant(c) absolutely discontinuous(d) of the above1osined |
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Answer» Every absolutely continuous function is uniformly continuousand, therefore,continuous.EveryLipschitz-continuous functionisabsolutely continuous. ... If f: [a,b] → R isabsolutely continuous, then it has the Luzin N property (that is, for any such that , it holds that , where stands for the Lebesgue measure on R). |
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