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Covers the convergence criteria for sequences, including operations on limits and sequences defined by recurrence.
Explores convergence of sequences in closed sets and the importance of understanding convergence in relation to closedness.
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Discusses the Dini theorem for the uniform convergence of monotonically increasing or decreasing functions.
Explores infinite limits at a point and their properties, including lateral infinite limits and comparisons with sequences.
Revisits limit definitions with sequences and epsilon-delta criterion, emphasizing limit points and function compositions.
