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Taylor Polynomials and Series
The document provides an overview of Taylor polynomials and series. It begins by announcing homework assignments and then discusses motivation, derivation, and examples of Taylor polynomials. It defines Taylor series and discusses power series convergence. It provides examples of computing Taylor series for specific functions like ln(x). The document cautions that Taylor series may converge at different rates or not converge at all depending on the value being approximated. It defines power series and radius of convergence, explaining the radius represents the interval on which a power series converges. An example computes the radius of convergence for a geometric power series.
