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

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  • Опубліковано 7 лют 2025
  • This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.
    Integral Test For Divergence: • Calculus 2 - Integral ...
    Remainder Estimate - Integral Test:
    • Remainder Estimate For...
    P-Series:
    • P-series
    Direct Comparison Test:
    • Direct Comparison Test...
    Limit Comparison Test:
    • Limit Comparison Test
    _________________________________
    Alternating Series Test:
    • Alternating Series Test
    Alternate Series Estimation Theorem:
    • Alternate Series Estim...
    Absolute & Conditional Convergence:
    • Absolute Convergence, ...
    The Ratio Test:
    • Ratio Test
    The Root Test:
    • Root Test
    __________________________________
    Series Tests - Practice Problems:
    • Calculus 2 - Geometric...
    Taylor & Maclaurin Polynomials:
    • Taylor Polynomials & M...
    Taylor's Remainder Theorem:
    • Taylor's Remainder The...
    Power Series - Interval Convergence:
    • Power Series - Finding...
    Power Series - Derivatives & Integrals:
    • Power Series - Differe...
    ___________________________________
    Calculus Final Exam and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 876

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +39

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ua-cam.com/video/urPIxvNBXF0/v-deo.html

  • @Kramgfddd
    @Kramgfddd 4 роки тому +2494

    HOW DOES THIS MAN KNOW EVERY SINGLE PIECE OF INFORMATION ON THE PLANET?! You are a lifesaver I swear to god if I was not broke, I would donate at least 10 grand coz your lectures are better than every other class I was ever in. You should run for president

    • @kennyrudin10
      @kennyrudin10 3 роки тому +6

      @@ahmedmohamedaligalal9165 Ahh yes, allah

    • @ghassenbeddouihech2657
      @ghassenbeddouihech2657 3 роки тому +8

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    • @ledgermalakai6549
      @ledgermalakai6549 3 роки тому +5

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      I was stupid forgot my password. I love any tips you can give me!

    • @ledgermalakai6549
      @ledgermalakai6549 3 роки тому +2

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      I see it takes a while so I will reply here later when my account password hopefully is recovered.

    • @ledgermalakai6549
      @ledgermalakai6549 3 роки тому +4

      @Aarav Raylan it worked and I actually got access to my account again. I am so happy:D
      Thank you so much you saved my account :D

  • @wickedtiger1553
    @wickedtiger1553 5 років тому +1075

    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
      @Filthyt 5 років тому +28

      This is more like 1.5 weeks or so

    • @SirChesterElderberry
      @SirChesterElderberry 3 роки тому +2

      howd you do?

    • @lambda5949
      @lambda5949 2 роки тому +17

      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
      @dhuka4969 2 роки тому +19

      @@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.

    • @lambda5949
      @lambda5949 2 роки тому +7

      @@dhuka4969 Oh yeah, in that case, this vid makes sense, didn't think universities required that kinda thing so I was assuming this vid was tailored for high schoolers.

  • @dukebozikowski3801
    @dukebozikowski3801 4 роки тому +2636

    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

    • @aleph4425
      @aleph4425 3 роки тому +80

      goat

    • @kormakurolafsson2182
      @kormakurolafsson2182 3 роки тому +39

      Love u

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      @kaylamancilla6563 3 роки тому +26

      You are so sexy.

    • @isatay4069
      @isatay4069 3 роки тому +16

      Bro the best

    • @pezpeculiar9557
      @pezpeculiar9557 3 роки тому +18

      I really appreciate this. I'm trying to focus on reviewing the ones I suck at, so this really helps me skip the stuff I'm already comfortable with.

  • @The-Khatalyst
    @The-Khatalyst 3 роки тому +170

    Why have I looked everywhere in my book, the recorded lectures, other math books, etc. to find a list of the tests and how/when to use them, and this is the only resource I've seen that actually goes through them. You are truly God's gift to students, sir.

  • @beneder5772
    @beneder5772 5 років тому +494

    I just want to say thank you so much. I watched a bunch of your videos on Calc 2 and I just aced my second exam. 100/100. Thank you so much you have no idea how much you truly help people.

  • @funnyvideos1030
    @funnyvideos1030 4 роки тому +191

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

    • @nipuniherath1451
      @nipuniherath1451 2 роки тому +6

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

    • @Maxim-Clutch-papi
      @Maxim-Clutch-papi Рік тому +26

      @@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.

    • @benjaminwhitehead4050
      @benjaminwhitehead4050 Рік тому +2

      @@Maxim-Clutch-papi Yeah we did all of these with sequences in one lecture

    • @richymanzo9817
      @richymanzo9817 10 місяців тому +1

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

    • @LuisCruz-ns3bt
      @LuisCruz-ns3bt 9 місяців тому +1

      @@benjaminwhitehead4050 Over here at UT it's the same case lol they treat calc 2 as a weed-out class

  • @paolameneses3075
    @paolameneses3075 3 роки тому +51

    I cannot put into words how much this channel has gotten me through college. My man you are an absolute legend!

  • @jeankhoury
    @jeankhoury 2 роки тому +13

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

  • @abdulwahabfanar8588
    @abdulwahabfanar8588 4 роки тому +91

    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 /:

    • @jdaht
      @jdaht 3 роки тому +4

      how did you do

    • @vaiterius
      @vaiterius 3 роки тому +3

      how did you do

    • @axlrose5082
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    • @diags_1109
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    • @racheltracy8124
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      @@diags_1109 Res in peace

  • @JazzyLove80
    @JazzyLove80 6 років тому +188

    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 !!!

    • @batuhan8964
      @batuhan8964 6 років тому +2

      so how did it go?

    • @greypoint000
      @greypoint000 5 років тому +53

      It was so bad they died on the spot. Rest in Peace Jaz

    • @asleyvictor5627
      @asleyvictor5627 5 років тому +29

      @@greypoint000 let's have a moment of silence for Jaz

    • @CluckYou21
      @CluckYou21 5 років тому +12

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

    • @Phenrex
      @Phenrex 5 років тому +2

      SchmidtyBangBang Me too! Glad I’m not the only one who is retaking it and smashing the course lmao

  • @Javill_Driz
    @Javill_Driz 2 роки тому +26

    I watched this video 4 hrs before my calculus exam and I understood all about the tests in 43:51 minutes #wow.....My lecturer spent 4 weeks on this topic and I didn't get anything LOL.....You the best bro

  • @javierrios4647
    @javierrios4647 3 роки тому +32

    your ability to make multiple high level topics so easy to understand is out of this world, you're awesome.

  • @Oursanctuary
    @Oursanctuary 7 місяців тому +4

    This is my second Academic year in Engineering,,you have always been my reference ever since I started. As I comment on this page today, there is an examination I must sit in a few hours !! Good work and Thank you Sir.

  • @ProdTony-gf9hh
    @ProdTony-gf9hh Рік тому +14

    I have a calc ii exam in two hours, this video and your channel in general has been a life saver. Before I found your videos I failed my first quiz (50%, mean score being 53%), and after finding your channel I managed to a much better score on my second quiz (85%, mean score being 54%). Thanks to you I can be confident I'll score at least an 80, and even hope for a 90. Honestly i would be failing without your channel.

    • @I_am_FRANCO
      @I_am_FRANCO Рік тому +2

      In my uni it’s called calculus 3 whyy

  • @rayravel7309
    @rayravel7309 5 років тому +4106

    Who else got a calc exam coming up?

  • @reighabaoag6712
    @reighabaoag6712 4 роки тому +11

    I have a math test coming up in two days and you just summed up 3 weeks worth of notes into a 45 min video!

  • @enochli4612
    @enochli4612 3 місяці тому +6

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

  • @eulyc.959
    @eulyc.959 5 років тому +16

    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

  • @seanfreyne8050
    @seanfreyne8050 2 роки тому +3

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    @mr.anonymous9425 Місяць тому +1

    We must protect this man at all costs! Bro just saved me an hour before my exam, and I will forever be thankful!!!!

  • @quocnhutdang4595
    @quocnhutdang4595 5 років тому +67

    I wanna say thank you. This video is so helpful. I got 96/100 in my third exam

  • @Blank-wv3uf
    @Blank-wv3uf 5 років тому +10

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    All hail O-Chem Tutor

  • @chancehall7862
    @chancehall7862 10 місяців тому +2

    These video's are fantastic! I am so thankful that you made these, my cal2 teacher is horrible and you are saving my college career with these.

  • @euclid9492
    @euclid9492 5 років тому +12

    You have a gift for being able to condense a lot of information into one video and have the viewer leave with a good working understanding of the topic. You are the best math youtuber in this regard! Thank you!

  • @cuttululu
    @cuttululu 20 днів тому +1

    yall are lucky to have these in calc 2, i have these in my calc 1 exam in 3 days

  • @oguzhan3864
    @oguzhan3864 6 років тому +537

    The Organic Chemistry Tutor once gave a student private lecture.The student is known as Stephen Hawking nowadays.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +3

    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 UA-cam TV with the Organic Chemistry Tutor.

  • @britterthecritter4531
    @britterthecritter4531 5 років тому +21

    Got a BC calc AP in 9 hours and not once did I ever understand how to do these, let’s goooo

  • @corsegau_2465
    @corsegau_2465 2 роки тому +4

    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.

  • @thenumber1bobo
    @thenumber1bobo 6 років тому +16

    Who disliked this? This is so nice and concise, with practice problems to boot. Perfect.

  • @The053199
    @The053199 3 роки тому +4

    I got a 100% on my calc 2 final. Thank you with every ounce of sleep that I was deprived of. You deserve it😭😭

  • @ianhenry317
    @ianhenry317 5 років тому +6

    Hell yeah! This video is saving me. Thank you so much for making this! My teacher spent 10 days covering this material, but I did not understand. Watched your video and now I'm ready for the exam.

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    @HettyPatel 4 роки тому +2

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    @carrigorourke2466 2 роки тому +2

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  • @pipinanaC8
    @pipinanaC8 3 роки тому +1

    This is a lifesaver you have no idea how much I was struggling - I have to take an exam in a couple hours and I feel at least mildly confident in my ability to get a passing grade now. Thank you so much!!!

  • @Dylan-bk9bh
    @Dylan-bk9bh 4 роки тому +10

    Yo Organic Chemistry tutor thank you for your videos, I have a barrier with my teacher and have been struggling in my class. But thanks to you and hours of practice I feel more competent in the subject. I'm sure you get this enough already but thank you for your time and dedication to helping us students out.

  • @hassansaqib13
    @hassansaqib13 4 роки тому +3

    This Man is a life saver. I am in the first semester of my university, and have a calculus exam coming up. Since I unfortunately contracted covid during this sem, i was unable to study properly. This Man literally summed up an entire chapter which my teacher taught in 3 weeks, in LESS THAN AN HOUR! And i literally feel so confident after this. Man, you are so special! I wish I had a teacher like you!

  • @saifoosy7792
    @saifoosy7792 2 роки тому +2

    Thank you. I love you so much. Calculus is not that hard we just need the professors to teach the same way you do.

  • @mathalysisworld6693
    @mathalysisworld6693 Рік тому +3

    At 30:52, I really like the way you said "excuse me" . I realised, at least the man whom I am learning with is not a robot.

  • @-.SkyArt.-
    @-.SkyArt.- Рік тому +2

    Currently learning Calculus right now and this is a lifesaver. Thank you!!

  • @realndu
    @realndu 2 роки тому +53

    watching this 1hour before my exam 💀

    • @Microwave342
      @Microwave342 9 місяців тому

      How did you exam go?

    • @realndu
      @realndu 9 місяців тому +3

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

    • @saifkharadi3010
      @saifkharadi3010 9 місяців тому

      @@realndu did u ever study before watching the video

    • @realndu
      @realndu 9 місяців тому

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

  • @the_ciphers_eye6822
    @the_ciphers_eye6822 Рік тому +2

    Ong, I owe my degree to you, an absolute GOAT! This video was literally the reason I got a 93% on a 50% avg sequences and series exam!

  • @MShazarul
    @MShazarul 5 років тому +15

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

    • @aurelionsol5134
      @aurelionsol5134 3 роки тому

      How did that work out for you?

    • @MShazarul
      @MShazarul 3 роки тому

      @@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.

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    @mortal295936cl Рік тому

    just wanna let you know, youre the best. been watching your videos since highschool whenever i dont understand my teachers

  • @jxanxtte
    @jxanxtte 5 років тому +13

    thank you for taking the time of day to make these videos! I don't know how I would get by without you and your videos!

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    @kelvinthehuman 2 роки тому

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  • @cramirezja121
    @cramirezja121 9 місяців тому

    Wow! 2 weeks of material condensed into a 44 min video. Thank you so much!

  • @saik9584
    @saik9584 4 роки тому +5

    I dont know how to thank you. I understood these concepts, thank you so much, god bless you!!

  • @Knowledge-swallowing-student
    @Knowledge-swallowing-student 8 місяців тому

    WOW! Complete, accurate, precise, I found my new online math teacher. Amazing Content!

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    @loganking4674 4 роки тому

    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.

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    @rhysespieces_ 10 місяців тому +1

    This person is singlehandedly saving my calc 2 grade T-T

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    @ClimberWithoutTheB 2 роки тому +7

    Pray for me boys, it’s 2 am and this calc test determines if I pass or bot

  • @murrayreynolds8593
    @murrayreynolds8593 Рік тому +2

    Thanks!

  • @merterdem9345
    @merterdem9345 2 роки тому +1

    best video ever in the history of youtube imo ngl

  • @N03200
    @N03200 6 років тому +2

    Got a calc 2 final tomorrow at 2 and you're a life saver!!

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    @warnfreezer 5 років тому +38

    Imagine paying for Prep101 when u have this guy

  • @Joseph-e2q4r
    @Joseph-e2q4r Рік тому

    Next Video: ua-cam.com/video/urPIxvNBXF0/v-deo.html. Next Video: ua-cam.com/video/urPIxvNBXF0/v-deo.html.

  • @gracecc6853
    @gracecc6853 2 роки тому

    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

  • @obaidi2834
    @obaidi2834 6 років тому +80

    LOL I have a test this Tuesday. Good timing GOAT

  • @aliosamaalmalki58
    @aliosamaalmalki58 Рік тому +1

    you are so professional. you are better than my doctor lol.. thanks man.. god bless you ! I hope that you can achieve what you want to achieve in your life.
    edit:you gained a new subscriber ..you are a legend!

  • @sadecedudi
    @sadecedudi 3 роки тому

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

  • @nekaamunoz
    @nekaamunoz 3 роки тому +2

    Gracias profesor, es usted un hombre increible, teengo un examen en 6 horas, recen un ave maria por mi, quiero vacaciones.
    Un saludo desde madrid

  • @dylanholman2000
    @dylanholman2000 5 років тому +15

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

  • @keepsmilingtoday
    @keepsmilingtoday 2 місяці тому +1

    give this man his honorary phD at this point

  • @robertm3329
    @robertm3329 3 місяці тому +13

    Exam in 14 minutes it’s been good boys 🫡

  • @halfpintleesa297
    @halfpintleesa297 2 роки тому

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

  • @アルベート
    @アルベート Рік тому

    When I get my bachelors and get a high paying job I’ll donate a portion of my first pay to this channel as a thanks

  • @arthurmorgan069
    @arthurmorgan069 2 роки тому

    Who else is watching review videos before their exam on this? Life saver this man is.

  • @MacGuzman
    @MacGuzman 10 місяців тому +2

    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.

  • @hannahgon
    @hannahgon Рік тому +3

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

  • @down4thecount628
    @down4thecount628 3 роки тому +11

    good luck on the AP test tomorrow

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    @nrnrlola7157 Рік тому +1

    It's currently 2:26 a.m, where i'm living,i've been binging your youtube channel because it's finals week . My test is in about 7 hours . Im lacking sleep AND information . Send help SOS.

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    @estherabass7389 2 роки тому

    literally just saved my life... i can't wait to donate once i have my degree!

  • @Ali_Alhakeem
    @Ali_Alhakeem 3 роки тому +1

    i have exam tommorow after 12 hour , this saved me
    thanks for making these amazing courses !

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    @ridajaija 2 роки тому

    if math god existed it would be this man. For every math topic I encountered he already made a video about.

  • @abdulhaseeb2148
    @abdulhaseeb2148 5 років тому

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  • @protgy
    @protgy 5 років тому +4

    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

  • @nanaseijr
    @nanaseijr Рік тому +1

    Kindly bring up more challenging examples to solve for us cos our lecturers aren't having mercy on us in our exams

  • @haileestone1325
    @haileestone1325 3 роки тому +1

    This video deserves +100M views

  • @notguitargatekeeper
    @notguitargatekeeper 2 місяці тому

    Thank you for this video, I went from barely knowing anything to knowing all I needed to know within like 8 hours of cramming

    • @ike7351
      @ike7351 17 днів тому

      Me fr lol, I spent all day just watching this video on repeat and taking notes cuz I procrastinated all my studying, now I feel ready lol

  • @lawlies7714
    @lawlies7714 2 роки тому

    this is one of the best videos i have ever seen...

  • @explorewithluke
    @explorewithluke 4 роки тому

    Thank You. Best math help UA-cam channel out there

  • @Beviraku
    @Beviraku 3 роки тому +9

    Wooo. Cramming for Calculus BC Exam tomorrow :)

  • @lotlouischo
    @lotlouischo 6 років тому +6

    Thanks for your help. This really helped me with AP Calculus BC

  • @stuffsintown7365
    @stuffsintown7365 3 роки тому +1

    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

  • @jhonatanmenjivar4712
    @jhonatanmenjivar4712 Рік тому

    Almost 2 fucking moths in class to cover all this and I did understood shit from my professor. And you made this so easy to understand Thank you, I am 4 years late to this video and the video is still saving college students thank you.

  • @wajdiayoub5106
    @wajdiayoub5106 2 роки тому

    You're an absolute god-send. Thanks for helping us get through school/uni XD

  • @annaaldridge1676
    @annaaldridge1676 3 роки тому +1

    literally your the only way I was ever able to pass calculas 2

  • @Kaptiv239
    @Kaptiv239 3 роки тому +81

    Bro if I ever hit the lottery I’m giving 10% of my total winning to you. You’re the closest thing our world has to a modern day Jesus.

    • @jameskennedy674
      @jameskennedy674 3 роки тому +3

      You're never going to hit the lottery and you're certainly not giving him 10%.

    • @pranikg
      @pranikg 2 місяці тому

      @@jameskennedy674 arent u fun

  • @kennr9005
    @kennr9005 9 місяців тому

    Calc exam in 3 days. I’m gonna watch so many of this man’s videos lmao

  • @nicksomma7828
    @nicksomma7828 3 роки тому

    I’m going to ace this test tomorrow, all because of you. Goat

  • @keremrmak5275
    @keremrmak5275 3 роки тому +1

    You are the best bro you just saved my life

  • @BaconBearOfficial
    @BaconBearOfficial Рік тому +1

    bro knows everything

  • @kotchamitachin7128
    @kotchamitachin7128 Рік тому +1

    You're such a life saver

  • @stavro5198
    @stavro5198 2 роки тому +12

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

    • @gosha404xx
      @gosha404xx 3 місяці тому

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

  • @dilarabasturk9698
    @dilarabasturk9698 Рік тому

    You truly are a hero, I cannot express how thankful I am :'')

  • @bzunderdog695
    @bzunderdog695 3 роки тому +1

    Yo studying last min for a important calc test was panicking until I found this review video. Also Duke Bozikowski thanks bro for the time stamps you're the real Life saver in combo wtih the Organic chem teach

    • @bzunderdog695
      @bzunderdog695 3 роки тому

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

  • @justinlaniuk323
    @justinlaniuk323 3 роки тому

    ayo we all gonna ace our exams now cause of you, thanks for the help you absolute legend!!!