Convergence and Divergence Tests by Rohan Shiva https://padlet.com/64009475/71zpi7c9uhey en-us 2019-05-17 16:53:44 UTC 2019-05-24 17:35:37 UTC hello@padlet.com Nth Term Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361257355 Always start with this test.
If the terms of an infinite series don't approach zero, the series must diverge.



Practice]]> 2019-05-17 16:54:45 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361257355 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361268839 2019-05-17 17:25:53 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361268839 P-Series Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361807312
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]]> 2019-05-20 16:23:35 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361807312 Geometric Series Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361811784 Practice









]]> 2019-05-20 16:34:47 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361811784 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361813092 2019-05-20 16:38:00 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361813092 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361814563 2019-05-20 16:41:57 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361814563 Ratio Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361814822 Practice












]]> 2019-05-20 16:42:33 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361814822 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361815594 2019-05-20 16:44:34 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361815594 Root Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361817154 Practice






]]> 2019-05-20 16:48:11 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361817154 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361819357 2019-05-20 16:53:05 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361819357 Alternating Series Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361821075 When a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0.
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]]> 2019-05-20 16:57:47 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361821075 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361822527 2019-05-20 17:00:52 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361822527 Telescoping Series Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361823593 Practice








]]> 2019-05-20 17:03:20 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361823593 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361826447 2019-05-20 17:09:37 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361826447 Integral Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361827139 Practice





]]> 2019-05-20 17:11:11 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361827139 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361828003 2019-05-20 17:13:16 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361828003 Direct Comparison Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361828705 If every term in one series is less than the corresponding term in some convergent series, it must converge as well. This notion is at the basis of the direct convergence test. Learn more about it here.
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]]> 2019-05-20 17:15:00 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361828705 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361829960 2019-05-20 17:17:42 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361829960 Limit Comparison Test 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361830687 In some cases where the direct comparison test is inconclusive, we can use the limit comparison test.
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]]> 2019-05-20 17:19:16 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361830687 64009475 https://padlet.com/64009475/71zpi7c9uhey/wish/361831833 2019-05-20 17:22:14 UTC https://padlet.com/64009475/71zpi7c9uhey/wish/361831833