Taylor Series of a Function

This lecture covers the Taylor series of a function, emphasizing the use of the Taylor formula for functions of class C² on an open interval. It explains the representation of a function through its Taylor series, also known as the Maclaurin series, and discusses the concept of remainder in the Taylor formula. The lecture delves into the application of the Taylor series with examples and clarifies the terminology related to the Taylor series. It concludes by highlighting the importance of the Taylor series in approximating functions and its significance in mathematical analysis.