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Lecture 35 | Uniformly Continuous | Continuity versus Uniform Continuity with example | Tamil
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* Definition of Uniformly continuous with example.
* Every uniformly continuous function is continuous proof.
* Continuous functions need not be uniformly continuous with example.
* x^2 is continuous but not uniformly continuous with graphical argument.
* Continuous function defined on a compact set is uniformly continuous with proof.
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* Reference book: Walter Rudin, Principles of Mathematical Analysis (Third edition).
* For PG students studying "Analysis I".
* Especially for M.Sc. Mathematics (First semester) students under Manonmaniam Sundaranar University (M S University), Tirunelveli.
* Useful for SET/NET/GATE/other competitive examinations.
* Every uniformly continuous function is continuous proof.
* Continuous functions need not be uniformly continuous with example.
* x^2 is continuous but not uniformly continuous with graphical argument.
* Continuous function defined on a compact set is uniformly continuous with proof.
================================================
* Reference book: Walter Rudin, Principles of Mathematical Analysis (Third edition).
* For PG students studying "Analysis I".
* Especially for M.Sc. Mathematics (First semester) students under Manonmaniam Sundaranar University (M S University), Tirunelveli.
* Useful for SET/NET/GATE/other competitive examinations.
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Lecture 35 | Uniformly Continuous | Continuity versus Uniform Continuity with example | Tamil
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