Topic: Uniform Continuity

Proof Uniform Limits Preserve Continuity

Modulus of Continuity

Proof Using Cauchy Sequences

Uniform Continuity and Cauchy Sequences

Continuous Extension to a Closed Endpoint

Proof of Heine-Cantor

Uniform Continuity and Compactness

Uniform Continuity of the Square Root

Heine-Cantor Theorem

Examples of Nonuniformly Continuous Functions