MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof: Absolute Convergence Test | Real Analysis

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the premium tier! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Get the coolest math clothes in the world! https://mathshion.com/ Real Analysis course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC Get the textbook! https://amzn.to/45kcMjq The absolute convergence test tells us that if the absolute value of the terms of a series is convergent, then the original series without absolute values is convergent also. We'll prove the absolute convergence test and see an example of using the absolute convergence test. Note that the converse is not true, and the alternating harmonic series makes a straightforward example of this. #realanalysis Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu 0:00 Intro 1:02 Proof 3:05 Example 4:31 Converse 5:32 Conclusion