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

W13-S2 The Limit Comparison Test and The Ratio and Root Tests

周次: 13 日期: May 20, 2022 节次: 2 In this lecture, the Comparison Test is upgraded to the limit case. In addition, two new tests based on the comparison with respect to the geometric series is given. These are called the Ratio Test and the Root Test, respectively. Note that all the tests are designed for a series with non-negative terms. § 11.4 The...

May 19, 2022