W16-S1 Taylor Series and Maclaurin Series
周次: 16 日期: June 8, 2022 节次: 1 In this lecture, we show that the convergent power series represents a function
周次: 16 日期: June 8, 2022 节次: 1 In this lecture, we show that the convergent power series represents a function
周次: 15 日期: June 1, 2022 节次: 1 In this lecture, we will continue the discussions on the power series. A radius of convergence of a power series is emerging from the ratio test for the absolute convergence. We will discuss the basic operations, like differentiation and integrations on a power series, and the multiplication of two power series as well. When a power...
周次: 14 日期: May 27, 2022 节次: 2 In this lecture, we will continue the discussion of absolute and conditional convergence, give the absolute convergence test to show any absolutely convergent series itself must converge. We also look at the difference between absolute and conditional convergences by showing that an absolute convergent series remains the same even after the rearrangement of the terms. However,...