Lecture
Taylor Polynomials and Remainders
Description
This lecture delves into Taylor polynomials with remainders, starting with the example of 1 / (1 - x) around a = 0. It explores the use of Taylor formulas with remainders, the relationship between different ε functions, and the development of functions like e^x, sin(x), and ln(1+x). The lecture also covers the expansion of (1 + x)^⍺ and the calculation of coefficients. Emphasis is placed on understanding the significance of ε functions and the importance of the development point in these expansions.
Official source
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