A continuous function on a closed interval is uniformly continuous

The notion of uniform continuity is a ``stronger'' version of (simple) continuity. If a function is uniformly continuous, it is continuous, but the converse does not generally hold (that is, a continuous function may not be uniformly continuous). However, if we restrict a continuous function on a closed interval, it is always uniformly continuous.
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[@habteflowstate]

Very helpful video! I was trying to understand the proof in my textbook, but there was a step that I didn't really understand

[@BruneiMathClub]

Glad it helped!