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Properties of Continuous Functions
This lecture covers the continuity of elementary functions, composition of limits for continuous functions, and global properties of continuous functions. It explains the concept of continuity at a point, the behavior of functions at different points, and the properties of continuous functions on closed intervals. The instructor discusses the definition of continuity, the composition of functions, and the implications of continuity on the existence of minimum and maximum values. The lecture also explores examples and proofs related to continuous functions and their behavior on intervals.