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

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  • เผยแพร่เมื่อ 30 มี.ค. 2018
  • 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-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

ความคิดเห็น • 804

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +28

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: th-cam.com/video/urPIxvNBXF0/w-d-xo.html

  • @Joseph-zd3lz
    @Joseph-zd3lz 3 ปีที่แล้ว +2142

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      @kennyrudin10 3 ปีที่แล้ว +6

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  • @dukebozikowski3801
    @dukebozikowski3801 3 ปีที่แล้ว +2406

    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 ปีที่แล้ว +74

      goat

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      @kormakurolafsson2182 3 ปีที่แล้ว +37

      Love u

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      @isatay4069 3 ปีที่แล้ว +15

      Bro the best

    • @pezpeculiar9557
      @pezpeculiar9557 3 ปีที่แล้ว +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.

  • @wickedtiger1553
    @wickedtiger1553 5 ปีที่แล้ว +965

    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 4 ปีที่แล้ว +27

      This is more like 1.5 weeks or so

    • @monke5802
      @monke5802 2 ปีที่แล้ว +2

      howd you do?

    • @lambda5949
      @lambda5949 2 ปีที่แล้ว +13

      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 ปีที่แล้ว +16

      @@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 ปีที่แล้ว +5

      @@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.

  • @beneder5772
    @beneder5772 5 ปีที่แล้ว +457

    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.

  • @The-Khatalyst
    @The-Khatalyst 3 ปีที่แล้ว +149

    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.

  • @funnyvideos1030
    @funnyvideos1030 4 ปีที่แล้ว +158

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

    • @nipuniherath1451
      @nipuniherath1451 ปีที่แล้ว +5

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

    • @Max-cu6bw
      @Max-cu6bw ปีที่แล้ว +21

      @@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 6 หลายเดือนก่อน +1

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

    • @richymanzo9817
      @richymanzo9817 2 หลายเดือนก่อน

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

    • @LuisCruz-ns3bt
      @LuisCruz-ns3bt 2 หลายเดือนก่อน

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

  • @rayravel7309
    @rayravel7309 4 ปีที่แล้ว +3728

    Who else got a calc exam coming up?

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    @quocnhutdang4595 5 ปีที่แล้ว +63

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

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

  • @JazzyLove80
    @JazzyLove80 5 ปีที่แล้ว +173

    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 5 ปีที่แล้ว +2

      so how did it go?

    • @greypoint000
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      It was so bad they died on the spot. Rest in Peace Jaz

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      @asleyvictor5627 5 ปีที่แล้ว +27

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    • @CluckYou21
      @CluckYou21 4 ปีที่แล้ว +12

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

    • @Phenrex
      @Phenrex 4 ปีที่แล้ว +2

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

  • @abdulwahabfanar8588
    @abdulwahabfanar8588 4 ปีที่แล้ว +77

    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 ปีที่แล้ว +4

      how did you do

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      @@vaiterius he died

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      @@axlrose5082 its safe to say, yes he died

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      @@diags_1109 Res in peace

  • @eulyc.959
    @eulyc.959 4 ปีที่แล้ว +12

    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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    @oguzhan3864 5 ปีที่แล้ว +516

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    @euclid9492 5 ปีที่แล้ว +11

    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!

  • @Javill_Driz
    @Javill_Driz 2 ปีที่แล้ว +16

    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

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    @pipinanaC8 3 ปีที่แล้ว +1

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    @ianhenry317 4 ปีที่แล้ว +6

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    @cramirezja121 หลายเดือนก่อน

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    @chancehall7862 2 หลายเดือนก่อน +1

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    @georgesadler7830 2 ปีที่แล้ว +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 TH-cam TV with the Organic Chemistry Tutor.

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    @Dylan-bk9bh 4 ปีที่แล้ว +10

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    @hassansaqib13 3 ปีที่แล้ว +2

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  • @-.SkyArt.-
    @-.SkyArt.- 6 หลายเดือนก่อน +2

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

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    @ebay_turbo 5 ปีที่แล้ว +2

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    @jososa5717 2 ปีที่แล้ว +3

    Incredible video, clear and detailed as usual, he has a gift for teaching. Also this video made me pass Calculus

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    @lukeshieldsnature 4 ปีที่แล้ว

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    @YeabuddyXD 2 ปีที่แล้ว

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  • @saik9584
    @saik9584 3 ปีที่แล้ว +5

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

  • @realndu
    @realndu ปีที่แล้ว +37

    watching this 1hour before my exam 💀

    • @Microwave342
      @Microwave342 หลายเดือนก่อน

      How did you exam go?

    • @realndu
      @realndu หลายเดือนก่อน +1

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

    • @saifkharadi3010
      @saifkharadi3010 หลายเดือนก่อน

      @@realndu did u ever study before watching the video

    • @realndu
      @realndu หลายเดือนก่อน

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

  • @N03200
    @N03200 5 ปีที่แล้ว +2

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

  • @jeankhoury
    @jeankhoury ปีที่แล้ว +5

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

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    @ProdTony-gf9hh ปีที่แล้ว +13

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    • @I_am_FRANCO
      @I_am_FRANCO ปีที่แล้ว +2

      In my uni it’s called calculus 3 whyy

  • @imlouischo
    @imlouischo 5 ปีที่แล้ว +6

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

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    @shadon_official2510 2 ปีที่แล้ว

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    @parker9965 2 ปีที่แล้ว

    Going into partial DE and complex functions feeling prepared. Thanks alot!

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  • @corsegau_2465
    @corsegau_2465 ปีที่แล้ว +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.

  • @saifoosy7792
    @saifoosy7792 ปีที่แล้ว +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.

  • @samantha-uo2gi
    @samantha-uo2gi 3 หลายเดือนก่อน +45

    man, I hate calc 2

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      Totally agree

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      @baritoneboi2399 2 หลายเดือนก่อน +2

      I love calc and I’m in calc 2 right now, but omg this stuff is annoying and tedious-

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      @MusabBinAbdullah-mu7mk 2 หลายเดือนก่อน

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    • @Renzosfs
      @Renzosfs หลายเดือนก่อน +1

      @@baritoneboi2399FOREAL so happy my calc 1 teacher made me fall in love with calc because doing calc 2 made me understand why it’s the calc which people get hardstuck at

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    @thenumber1bobo 5 ปีที่แล้ว +16

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

  • @The053199
    @The053199 2 ปีที่แล้ว +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😭😭

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    @gracecc6853 2 ปีที่แล้ว

    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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    @growingmartshal3229 3 ปีที่แล้ว

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    @abdulhaseeb2148 4 ปีที่แล้ว

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  • @ngomez909
    @ngomez909 3 ปีที่แล้ว

    Thank you so much! Extremely helpful

  • @britterthecritter4531
    @britterthecritter4531 5 ปีที่แล้ว +21

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

  • @down4thecount628
    @down4thecount628 3 ปีที่แล้ว +11

    good luck on the AP test tomorrow

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    @mortal295936cl ปีที่แล้ว

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

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    @christywilkinson2047 5 ปีที่แล้ว

    this was sooooo helpful!! thank you!!

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    @wasiqmk 4 ปีที่แล้ว

    Thank you sir,your lecture is short and sweet,and it is understandable

  • @vvise4179
    @vvise4179 2 ปีที่แล้ว +1

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    @meme0043 3 ปีที่แล้ว

    really thank you for your videos it really helped me in my studies

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    @rediet.f261 5 ปีที่แล้ว

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    @youtrash9761 ปีที่แล้ว

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

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    @whoelsebutsav 5 ปีที่แล้ว +2

    i honestly can’t thank you enough thank you 👌🏽

  • @nicholasneto8797
    @nicholasneto8797 3 ปีที่แล้ว

    Amazing video, helped me prepare for my calc 2 final tmr. Thanks!

  • @sahel5896
    @sahel5896 2 ปีที่แล้ว

    Thanks for such a great explanation 👍

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    @obaidi2834 6 ปีที่แล้ว +79

    LOL I have a test this Tuesday. Good timing GOAT

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    @wdwanwan6332 3 ปีที่แล้ว

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    @mattlapla4636 3 ปีที่แล้ว +1

    Such a good and informative video

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    @tnt-fh9pt 8 หลายเดือนก่อน

    Thank you so much, it was very helpful.🙌

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    @batoulkhodor8163 3 ปีที่แล้ว

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    @memoonawazir2484 6 ปีที่แล้ว +3

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    @poojan97 5 ปีที่แล้ว +1

    Thank you and God Bless You!!!!

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    @ulkerahmet9581 5 ปีที่แล้ว

    Thanks, you helped me a lot.

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    @merterdem9345 ปีที่แล้ว +1

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    @AsadAli-uq3fw 4 ปีที่แล้ว

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    @confusedchild2561 25 วันที่ผ่านมา

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    @miaofanchen4693 2 ปีที่แล้ว

    Thank you soooo much! very clear!

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    @sunny.w2579 ปีที่แล้ว

    helps a lot...!! Thank you so much

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    @warnfreezer 5 ปีที่แล้ว +38

    Imagine paying for Prep101 when u have this guy

  • @protgy
    @protgy 4 ปีที่แล้ว +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

  • @wajdiayoub5106
    @wajdiayoub5106 ปีที่แล้ว

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

  • @uditsaxena3844
    @uditsaxena3844 4 ปีที่แล้ว

    Superb sir , thanks for making life good

  • @jamesnnyamah5316
    @jamesnnyamah5316 2 ปีที่แล้ว

    Man you are actually a life saver.

  • @aliosamaalmalki58
    @aliosamaalmalki58 ปีที่แล้ว +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!

  • @nondumisomsibi6270
    @nondumisomsibi6270 5 ปีที่แล้ว

    thank you for the clear explanations

  • @Dappled
    @Dappled 4 ปีที่แล้ว +1

    I was struggling in BC and this video helped me.

  • @anakovacheva3721
    @anakovacheva3721 3 ปีที่แล้ว

    This helped me a lot!

  • @roviambagolla7954
    @roviambagolla7954 9 หลายเดือนก่อน

    Thank you so much !

  • @JoliNoelleDavid
    @JoliNoelleDavid 2 ปีที่แล้ว

    thank you SO MUCH, you saved me

  • @dilarabasturk9698
    @dilarabasturk9698 ปีที่แล้ว

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

  • @Mr_B0nz
    @Mr_B0nz 5 ปีที่แล้ว

    This is a godlike video. Thanks a lot

  • @sasindudilshan6679
    @sasindudilshan6679 2 ปีที่แล้ว

    Thank you very much sir. Full of series unit i coverd from your videos. Very helpful sir. Thank you💓💓

  • @keremrmak5275
    @keremrmak5275 3 ปีที่แล้ว +1

    You are the best bro you just saved my life

  • @lvibe_only
    @lvibe_only 3 ปีที่แล้ว

    thank you! really you helped me, God bless you
    aya from morocco