Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/q6Ozequsg6eLfJI

[@CalculusPerson]

Thanks for this!

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[@dukebozikowski3801]

1. Divergence Test: 0:21 2. Geometric Series Test: 0:58 3. P-Series Test: 1:51 4. Telescoping Series: 2:33 5. Integral Test: 5:01 6. Ratio Test: 6:12 7. Root Test: 7:14 8. Direct Comparison Test: 8:12 9. Limit Comparison Test: 8:59 10. Alternating Series Test: 10:28 11. Absolute Convergence AND Conditional Convergence: 11:26 12. Practice Problems: 12:41

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bro Imma have a maths test in 2 hours.. prof made all these incredibly convoluted.. I absolutely love the straightforward manner you built up this video. it is incredible that some people can sum up months of curriculum in 45 minutes and everything is clear, all seems easy and meaningful in contrast to endless lessons in uncomfortable chairs mad respect

[@Filthyt]

This is more like 1.5 weeks or so

[@SirChesterElderberry]

howd you do?

[@lambda5949]

Tbf tho actually learning the content vs memorizing the formulas are completely different. As a review tool, this is great but if you get asked a single out-of-the-box question that requires deep knowledge of the topic then just knowing a bunch of formulas isn't gonna give you the intuition to actually unpack any of this. I'm self-studying for BC and I find it helps a lot to watch these vids in tandem with another explanatory resource like Pauls Online or Khan Academy, which usually have intuitive explanations or proofs of each concept.

[@dhuka4969]

@@lambda5949 but it means nothing to me whether I memorize the formula or understand the formula, I just need a pass in order to continue my university study which is nothing about maths. It is just silly that my school make maths compulsory even for the history major.

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Thanks! You saved my life for calculus I have an exam comming up and u really summed it up well :)

[@funnyvideos1030]

You explained 43 minutes, that's already like 3 weeks of calculus II all in 1 video! Thank you so much man!

[@nipuniherath1451]

We covered this topic within half an hour in our university🥲

[@Max-cu6bw]

@@nipuniherath1451 you covered 11 topics in half an hour??? u need a new university bro. that makes no sense. maybe 30min-1hr for each topic but not 30 min for all 11 lol.

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@@Max-cu6bw Yeah we did all of these with sequences in one lecture

[@richymanzo9817]

@@nipuniherath1451 30 minutes??? This is like 20% of all the content for calc 2

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Who else got a calc exam coming up?

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Me and series had never been my strong topic😅

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i am retaking calculus two because of this chapter, and I am currently relearning it and still barely getting it but this video is saving my life tbh !!!

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so how did it go?

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[@CluckYou21]

I had to retake it as well, I’m passing with a 90% now!

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my calculus 2 final is in exactly 12 hours and before I started watching your videos 2 hours ago, I had absolutely no idea what this wizard scripture is But now I can safely say that I actually understand it and I'm going to ace the exam tomorrow I can't thank you enough, you are my hero /:

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My calc 2 final is tomorrow and I'm here trying to retain as much information as I can, watching your videos. Thank you, you're a life saver

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a video that's less than an hour has tought me more stuff than my professor did in a week

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My calculus final resulted this day, and I probably got 30-40 point by watching this video on the night of the day before the exam. Thanks man. Even though my math is good, I was confused by many tests in series topic. Great explanation video without confusing parts.

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Professor Organic Chemistry Tutor, thank you for a monster review of the different tests for Convergence and Divergence in Calculus Two. This is a tremendous amount of material for a student to absorb in Mathematics. The old fashion way to learn any subject is practice and pattern recognition. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

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[@hannahgon]

16:02 geometric series 17:59 alternating series 22:04 telescoping series - partial fractions 29:26

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[@realndu]

watching this 1hour before my exam 💀

[@Microwave342]

How did you exam go?

[@realndu]

@@Microwave342 I passed lol 😂 Thanks for asking ;)

[@saifkharadi3010]

@@realndu did u ever study before watching the video

[@realndu]

@@saifkharadi3010 Yeah yeah I did. But I usually leave the Topic of Series last. Hence I did it last minute.

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Speed at 1.75, binge watch and practice through James stewart calculus .. All the best lad for your finals!

[@aurelionsol5134]

How did that work out for you?

[@MShazarul]

@@aurelionsol5134 I got a B minus. That's fantastic, particularly because I'm pursuing my bachelor's degree part-time. I believe the integral questions are the part where I made the most mistakes. In tutorials, the questions given are single problem like u-sub, integration by parts or integration by partial fractions. Just one of each and never a mix of those. But my examination will have an integral question that needs to be solved by u-sub and integration by parts or u-sub and partial fractions, etc.

[@stavro5198]

For the example at 35:58, could you also use the direct comparison test to show that the series is convergent?

[@gosha404xx]

That's what I was thinking too, cuz the LCT seemed unnecessary when you can just see Bn > An, Bn converges, so An converges.

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I love this guy! I don’t see many people in the comments actually saying how beautiful these math “tests” are that mathematics has a whole sorta new number series that can prove vital things in an equation.

[@MacGuzman]

19:25 lim n-> inf = 0, he said passes divergent test. I thought he just discussed that a series will diverge if the lim -> inf =/ 0. Yet, his example here claims it approaching 0 passes the divergent test? I am confused edit: It's late. I see my error. "pass the divergence test" does not mean we want the series to specifically diverge. In an alternating series we WANT the lim -> inf = 0 so it *passes* the divergence test i.e. we can continue to prove the convergence of a series continung with the alternating series test by checking the next term is less than or equal to the previous term.

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Currently watching this 2 hours before my calc exam. Let's hope this works.

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it wont

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What did you get?

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Suprsingly a 98%, thank you

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this series has helped me a lot with my examns, however the part where you are calculating de limit of certain things can be easier by just taking the coefficient of the unkown X with the highest exponential

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i swear that if i didn't know you, i wouldn't understand calculus lessons. now, I can learn well than ever.

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my friend and i were screwed but this taught us more in one sitting than we learned in class or after days of reviewing notes. thank you i think you just saved us on this test

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good luck on the AP test tomorrow

[@Joseph-e2q4r]

Next Video: kzbin.info/www/bejne/q6Ozequsg6eLfJI. Next Video: kzbin.info/www/bejne/q6Ozequsg6eLfJI.

[@stuffsintown7365]

I think the problem at 37:31, we can use direct comparison test instead of limit comparison test since the bn is larger than an already

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Thanks!

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my hands are partially frozen and Im typing fast so forgive my grammar mistakes

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I Passed the exam

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You just summarized 1 month of lectures in 43 minutes and 51 seconds and did a better job at it too

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thx bro u carried me through the entirely of calc 2 ❤❤ def wouldn’t have passed without ur videos :)

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