Lecture
This lecture covers examples of algebraic functions within the context of continuous functions. The instructor explains the concept of limits for functions involving square roots and polynomials, emphasizing the importance of considering specific values for x. Through various mathematical expressions and derivations, the lecture demonstrates how to analyze the behavior of functions as x approaches infinity, highlighting the significance of positive values for x. Additionally, the lecture explores the application of limit definitions and the behavior of functions for different values of x, providing a comprehensive understanding of algebraic functions and their properties.