Continuity of Functions: Definitions and Notations

This lecture revisits the concept of sequences in R² and R³, defining them as a sequence of points in R² or R³. It explores the notation for sequences and discusses the convergence of sequences in R² and R³. The lecture also covers the definition of a convergent sequence in R² and R³, emphasizing the importance of accumulation points and limits. Additionally, it delves into the continuity of functions in R² and R³, explaining the concept of accumulation points and the notation used for sequences. The lecture concludes with a detailed explanation of the continuity of functions in R² and R³, highlighting the significance of accumulation points and limits.