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Furthermore, thus, in the definition of uniform continuity, only depends on ! The function f(x) x2 is uniformly continuous on 0 1. gt 0. Choose. 2. Then, if x c 2 0 1 then jx. However, there are of course continuous functions that are not uniformly continuous. This aspect of Uniform Continuity The Ultimate Guide Numberanalyticscom plays a vital role in practical applications.
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Moreover, thus, in the definition of uniform continuity, only depends on ! The function f(x) x2 is uniformly continuous on 0 1. gt 0. Choose. 2. Then, if x c 2 0 1 then jx. However, there are of course continuous functions that are not uniformly continuous. This aspect of Uniform Continuity The Ultimate Guide Numberanalyticscom plays a vital role in practical applications.
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