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Power Series and Taylor Series
This lecture covers the concepts of power series and Taylor series, including their definitions, convergence properties, and applications. It explains how to find Taylor series expansions of functions, with detailed examples and derivations. The lecture also discusses the convergence criteria for power series and the radius of convergence. Additionally, it explores the differentiation of power series term by term and provides insights into the development of Taylor series. The lecture concludes with practical examples and applications of power series and Taylor series in mathematics.