Lectures related to Continuous Functions: Definitions and Examples

Explores point interior and boundary concepts in real numbers, covering definitions and implications.

Explains the motivation behind the limit of a function and convergence criteria.

Explores real functions, focusing on limits at a point and the importance of understanding limits in calculus.

Covers limits, range of continuous functions, and uniform continuity on closed intervals.

Explores limit characterization using sequences and algebraic operations on limits.

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Covers the concept of semicontinuous functions and their integration.