W14-S2 Absolute and Conditional Convergence, Power Series

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,...

May 26, 2022

W14-S1 The Root Test, Alternating Series, Absolute and Conditional Convergence

周次: 14 日期: May 25, 2022 节次: 1 In this lecture, we continue the discussion on the root test (for the series with non-negative terms). And we discuss alternating series, there’s a test called Leibniz’s or alternating series test. Alternating series converges in a manner that positive and negative terms...

May 24, 2022