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Covers the concept of limits and explores limits at infinity with illustrative examples.
Delves into the invariance of domain theorem, proving that a subset homeomorphic to an open subset is open itself, with implications for embeddings and homeomorphisms.
Explores the concept of limits of sequences and their convergence towards infinity or negative infinity.
Explores defining arithmetic operations through counting, with insights on cardinal numbers, Cantor's work, and Sudoku.
Explores limits to infinity, including convergence, algebraic properties, and geometric progressions.
