Lecture

Taylor's approximation: Analysis & Applications

Description

This lecture covers Taylor's approximation theorem, differentiability, increasing and decreasing functions, strict increasing and decreasing functions, convergence, L'Hôpital rule, Taylor approximation, error control, expansions, and composition of functions. Examples include approximating functions like cos(x) and log(x), as well as discussing the existence of developments of order and unique expansions.

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