Week 12 review problems for Calculus 2 (Spring 2025) --- Alternating series/Interval of convergence

A set of problems that cover material from the twelfth week of Calculus 2 (e.g. alternating series and interval of convergence). For more information, including scanned copies of the material: https://www.calc2.org/ Presenter: Steve Butler (https://www.stevebutler.org/) 0:00 Intro 0:26 1-Apply alternating series test 4:18 2-Absolute vs Conditional vs Diverge 8:14 3-Error bound for alternating series test 14:52 4-Rewrite geometric series as rational function 22:29 5-Radius of convergence (ratio test) 28:57 6-Radius of convergence (root test) 33:41 7-Radius of convergence (ratio test) 45:30 8-When does alternating series start to decrease 51:57 9-Interval of convergence 1:04:48 10-Ratio test