MAT320/640 LECTURE 9 (10/4/2021): SERIES, CAUCHY CRITERION, RATIO AND ROOT TESTS
• Announcements: As a reminder, since Gillet Hall is still closed due to COVID-safety issues, our exercise session that was tentatively planned in-person for Wednesday will be instead held online via Zoom, starting at 1:00pm. Please use the same Zoom link as before (for live lectures and office hours) to join.
• Video 1: Recap on liminf and limsup, and a few of their properties. Download file or watch below
• Video 2: Definition of Series and convergence. Example: Geometric series. Download file or watch below
• Video 3: Cauchy criterion for convergence of series, and some consequences. Download file or watch below
• Video 4: "Direct" comparison test for series. Download file or watch below
• Video 5: Root and Ratio tests, proofs, and comparative analysis. Download file or watch below