Uniform Continuity | Definition and Examples | Calculus

We work with the definition of uniform continuity of a function, learning it from a graphical and mathematical point of view. With examples. Then we prove the Heine-Cantor theorem.

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Timestamps in this video:

0:00 Introduction.
0:7 Definition: Uniform continuity of f in an interval.
1:51 Example 1: f(x) = x².
5:52 Definition: Negation of uniform continuity.
7:05 Example 2: f(x) = 1/x.
12:55 Graphical explanation: Uniform continuity.
16:06 Theorem: Heine - Cantor.

#maths #functions #limits