{"id":366,"date":"2023-11-21T19:59:40","date_gmt":"2023-11-21T19:59:40","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=366"},"modified":"2026-01-08T16:37:14","modified_gmt":"2026-01-08T16:37:14","slug":"math-142-calculus-2-chapter-10","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-142-calculus-2-chapter-10\/","title":{"rendered":"Math 142 Calculus 2 Chapter 10"},"content":{"rendered":"\n<p>Section 10.1\u00a0<a href=\"http:\/\/www.screencast.com\/t\/iC3LVRBLTRO\">Sequences<\/a>\u00a0HW 1, 7, 9, 17, 23, 25, 27, 29, 31, 37, 39, 41, 45, 47, 51, 53, 61, 63, 85, 91, 93<br><a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/coxa_kellogg_edu\/Documents\/Sharepoint%20filesa%20-%20Share%20from%20here!!!!\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.1%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQAu3PaqoY88Soeg0FPXcfsWAe7UkUavwK4unAb9DvW9mx4?e=eo7CZr\" target=\"_blank\" rel=\"noreferrer noopener\">Sequences<\/a><\/p>\n\n\n\n<p>Section 10.2\u00a0<a href=\"http:\/\/www.screencast.com\/t\/yj711gTN\">Infinite Series<\/a>\u00a0HW 2, 5, 7, 13, 18, 19, 25, 27, 31, 35, 39, 41, 47, 49, 53, 55, 59, 71, 73, 75<br><a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/coxa_kellogg_edu\/Documents\/Sharepoint%20filesa%20-%20Share%20from%20here!!!!\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.2%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQBa2QJBZGRkTZJg47BNdb2kAWph27BTK27wDzdjIKNNWWU?e=5hokeF\" target=\"_blank\" rel=\"noreferrer noopener\">Infinite Series<\/a><\/p>\n\n\n\n<p>Section 10.3\u00a0<a href=\"http:\/\/www.screencast.com\/t\/omPgYqn0QgP\">The Integral Test<\/a>\u00a0HW 1-47 odds<br><a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/coxa_kellogg_edu\/Documents\/Sharepoint%20filesa%20-%20Share%20from%20here!!!!\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.4%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQBehzdYwM8XQp75-sOcGW8cATDiWQtAvnFV-Et1vFadQWs?e=FtfHdq\" target=\"_blank\" rel=\"noreferrer noopener\">The Integral Test<\/a><\/p>\n\n\n\n<p>Section 10.4\u00a0<a href=\"http:\/\/www.screencast.com\/t\/a9CYzVEL\">Comparison Test<\/a>\u00a0HW 1-53 every other odd<br><a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/coxa_kellogg_edu\/Documents\/Sharepoint%20filesa%20-%20Share%20from%20here!!!!\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.4%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQBehzdYwM8XQp75-sOcGW8cATDiWQtAvnFV-Et1vFadQWs?e=JD2tho\" target=\"_blank\" rel=\"noreferrer noopener\">Comparison Test<\/a><\/p>\n\n\n\n<p>Section 10.5&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/8BhEjkQOJhQS\">The Ratio and Root Test<\/a>&nbsp;HW 1-61 every other odd<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.5%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EYUXdZipVzxPmbRRJurdauYBQ4dKebgcckNIGzLaBClBsg?e=pZBhHY\" target=\"_blank\" rel=\"noreferrer noopener\">The Ratio and Root Test<\/a><\/p>\n\n\n\n<p>Section 10.6&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/jYPFq4N6g\">Alternating Series, Absolute and Conditional Convergences<\/a>&nbsp;HW 1-47 every other odd, AND 57-81 every other odd<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.6%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EahU2Y8EGXhCilfOD04e7bgB81H1N7DgqhCHBzytJmk_tg?e=ywKB3S\" target=\"_blank\" rel=\"noreferrer noopener\">Alternating Series, Absolute and Conditional Convergences<\/a><\/p>\n\n\n\n<p>Section 10.7&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/DgxJVZRMUH\">Power Series<\/a>&nbsp;HW 1 through 47 odds<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.7%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/ESb5_aryyuNIiFvHJXoGJZMBzK1U1EdpedktjSBYrAl4nA?e=JLJ5JK\" target=\"_blank\" rel=\"noreferrer noopener\">Power Series<\/a><\/p>\n\n\n\n<p>Section 10.8&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/0hYp0unhWh1\">Taylor and Maclaurin Series<\/a>&nbsp;HW 1-33 every other odd<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.8%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EYgAn_5EzbNMrXIobZP__8QBrwbGueKzsb9uXxazIX2g7g?e=S6Lcyh\" target=\"_blank\" rel=\"noreferrer noopener\">Taylor and Maclaurin Series<\/a><\/p>\n\n\n\n<p>Section 10.9&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/oBFie80bVQ0\">Convergence of Taylor Series<\/a>&nbsp;HW 1-33 every other odd<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.9%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EQHv0glHiHhLnPXwYkQCtaYBBqNaK7HHL2wHifgaINqFUA?e=YzS9BO\" target=\"_blank\" rel=\"noreferrer noopener\">Convergence of Taylor Series<\/a><\/p>\n\n\n\n<p>Section 10.10\u00a0<a href=\"http:\/\/www.screencast.com\/t\/8UYtXoA9\">The Binomial Series and Applications of Taylor Series<\/a>\u00a0HW 1-17 odds, 29-49 every other odd<br><a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/coxa_kellogg_edu\/Documents\/Sharepoint%20filesa%20-%20Share%20from%20here!!!!\/coxa\/142%20Video%20Worksheets\/Chapter%2010\/MATH%20142%20Chapter%2010.8%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQCBAWDt8bK2T5xwxdF4b1jIAWSFHpnfzeZFJdZyd0QTOXw?e=qBbXc3\" target=\"_blank\" rel=\"noreferrer noopener\">The Binomial Series and Applications of Taylor Series<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-142-calculus-2\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s MATH 142 page<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/mathematics-professor-anna-cox\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s home page<\/a><\/p>\n\n\n\n<p>Return to&nbsp;<em><a href=\"http:\/\/www.kellogg.edu\/\">Kellogg Community College<\/a><\/em><\/p>\n\n\n\n<p>Questions asked by students<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/5sCIjkDbu\">10-1-3<\/a>&nbsp;oscillating terms (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/T1mwFbRRjR\">10-1-49<\/a>&nbsp;Sandwich Theorem (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/jn8beaGAQ0J\">10-1-57<\/a>&nbsp;definition of e (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/c75xpb3xU0Y8\">10-1-67<\/a>&nbsp;a sequence converges (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/q4arnhbgwG\">10-1-105&nbsp;<\/a>convergent sequence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/TPddTzQTL\">10-2-5&nbsp;<\/a>partial fractions into telescoping series (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/puKZhaSyS\">10-2-47<\/a>&nbsp;telescoping series (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/p7pTKQdJ\">10-2-65<\/a>&nbsp;factorial and power problem (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/KlSUsPz47h\">10-3-9<\/a>&nbsp;convergent series using tabular integration and integral test (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/oPKP8qJs9J\">10-3-25<\/a>&nbsp;constant times a divergent series (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/PF6vJIiXOOHZ\">10-3-35<\/a>&nbsp;sine series that diverges by nth term test (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/fVKaUfCaH\">10-4-53<\/a>&nbsp;series with needing to find a summation formula (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/gK9NmO5oWqfX\">10-5-5 ratio and root test on a fraction with n in numerator and exponent of denominator<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/2Vb2ihExu\">10-5-13 ratio and root test on a fraction with n in denominator and exponent<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/jAyK4zUAEoOh\">10-5-17 ratio and root test for n in numerator and denominator<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/8TbvpmepS\">10-5-25<\/a>&nbsp;definition of e in the problem (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/RCeRbxiwD\">10-5-29 root and ratio tests fail and thus used limit comparison test<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/39wDlGxi\">10-5-37<\/a>&nbsp;ratio test (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/dUPULMAZtISo\">10-5-41<\/a>&nbsp;convergence series with two inconclusives along the way (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/5gZifoWRLG5\">10-5-55<\/a>&nbsp;recursive equation diverge (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/Xv55Ol6pr3u7\">10-6-24<\/a>&nbsp;absolutely convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/bswyVK9j\">10-6-30&nbsp;<\/a>conditionally convergent (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/4gSXRuaz\">10-6-36&nbsp;<\/a>conditionally convergent (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/lrBv7EJ6\">10-6-42&nbsp;<\/a>diverges (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/bZMOQRVK\">10-6-48&nbsp;<\/a>absolutely converges (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/academic.kellogg.edu\/coxa\/10-6%20examples.pdf\">10-6-24,30,36,42,48<\/a>&nbsp;pdf of the problems&nbsp;(15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/nTE9IzyJTnpc\">10-7-18<\/a>&nbsp;series convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/2usEqZrE2Zk\">10-7-21<\/a>&nbsp;series convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/gq1slHye0Q\">10-7-24<\/a>&nbsp;series convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/qMwV6qIwOxnL\">10-7-30<\/a>&nbsp;series convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/It9WRnjABAv\">10-7-35 radius of convergence<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/28EI9SOt8\">10-7-36&nbsp;<\/a>series convergence (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/HRy5CAPuOTtE\">10-7-50<\/a>&nbsp;series convergence (15<sup>th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Section 10.1\u00a0Sequences\u00a0HW 1, 7, 9, 17, 23, 25, 27, 29, 31, 37, 39, 41, 45, 47, 51, 53, 61, 63, 85, 91, 93Worksheet &#8211; Sequences Section 10.2\u00a0Infinite Series\u00a0HW 2, 5, 7, 13, 18, 19, 25, 27, 31, 35, 39, 41, 47, 49, 53, 55, 59, 71, 73, 75Worksheet &#8211; Infinite Series Section 10.3\u00a0The Integral Test\u00a0HW&hellip; <a class=\"more-link\" href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-142-calculus-2-chapter-10\/\">Continue reading <span class=\"screen-reader-text\">Math 142 Calculus 2 Chapter 10<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-366","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/366"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=366"}],"version-history":[{"count":5,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/366\/revisions"}],"predecessor-version":[{"id":1040,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/366\/revisions\/1040"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=366"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}