Difficulty: Intermediate

Uniform Limits and Continuity

Proof Uniform Limits Preserve Continuity

Holder Continuity

Modulus of Continuity

Proof Using Cauchy Sequences

Continuous Extension to a Closed Endpoint

Uniform Continuity and Cauchy Sequences

Proof of Heine-Cantor

Uniform Continuity and Compactness

Uniform Continuity of the Square Root