Week 11 review problems for Calculus 2 (Spring 2025) --- Convergence test for series

A set of problems that cover material from the eleventh week of Calculus 2 (e.g. convergence tests including integral test, direct comparison test, limit comparison test, root test, and ratio test). For more information, including scanned copies of the material: https://www.calc2.org/ Presenter: Steve Butler (https://www.stevebutler.org/) 0:00 Intro 0:45 1-Apply Direct Comparison Test 8:54 2-Apply Limit Comparison Test (get rid of noise) 18:50 3-Set C for Ratio Test convergence 25:07 4-Apply Ratio Test 38:37 5-Apply Root Test 42:58 6-Limit Comparison Test (determine growth) 52:14 7-Use Comparison Test to show modification of series converges 55:34 8-Use Root Test (everything has exponent of n) 1:00:49 9-Use Integral Test 1:08:20 10-Use Error Bound from Integral Test