Bisection Algorithm: Convergence and Continuity

This lecture covers the Bisection Algorithm, focusing on the convergence of sequences and the continuity of functions. It explains the properties of supremum and infimum, the Bolzano-Weierstrass theorem, and the concept of intermediate values. The lecture also discusses the convergence criteria of sequences and the uniqueness of limits, with a detailed demonstration of the algorithm's application. Additionally, it explores the image of intervals under functions, emphasizing the importance of continuity and the relationship between minimum and maximum values.