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real analysis - Continuity on $[a,b]$ implies uniform continuity on $[a,b]$ - Mathematics Stack Exchange
SOLVED: 5.1 Uniform Continuity. Definition 5.1.1 (Uniform Continuity) . continous function f (1) defined on a interval I, either open, closed, 0r mixed is uniformly continuous if for every 6 > 0.
Uniform Continuity - an overview | ScienceDirect Topics