Infinite Limits and Vertical Asymptotes

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  • Опубликовано: 28 ноя 2024

Комментарии • 213

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +8

    Limits - Free Formula Sheet: bit.ly/3T3dD2X
    Next Video: ruclips.net/video/UPUzKShJPuk/видео.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @CarmenMacDonnell
    @CarmenMacDonnell Год назад +76

    There is a special place in heaven for you. I've been using all your videos to fill in the gaps that my instructor hasn't been teaching us or the little things I've missed in class. These in depth tutorials are the best.

  • @adambirouk4046
    @adambirouk4046 3 года назад +112

    idk why profs try and overcomplicate things. thank you for making it simple, without you I would've suffered in my pre calc class last year and I would be suffering in my calc class this year.

    • @jacobn2461
      @jacobn2461 2 года назад +2

      It's not that they try to overcomplicate things, they're just bad at their jobs. Some don't even have a clear understanding of the concept and just go word for word from the textbook, like my current professor.

    • @Rr-rb9uv
      @Rr-rb9uv 9 месяцев назад +8

      @@jacobn2461another problem is they teach like you already know the subject. It’s so infuriating. Especially when they just tell you the formula of something then not even explain what it means/what its applied for

    • @hooligan1602
      @hooligan1602 9 месяцев назад

      @@Rr-rb9uvliterally its like they gatekeep some info and don’t explain it on purpose so we struggle

    • @benjamin3615
      @benjamin3615 2 месяца назад

      ​@jacobn2461 this is the real reason. I've had professors admit they've never taught this subject and were learning along with us. Sometimes they don't get to choose what they teach and get stuck with they're given.

  • @bbycatto
    @bbycatto 4 года назад +332

    24:27 for those who want to know how to get their vertical asymptotes... have a timestamp!! :)

  • @gabyc5509
    @gabyc5509 Год назад +94

    I'll definitely have to dedicate my diploma to this guy. No way I could get through college without him

  • @mariosvourliotakis
    @mariosvourliotakis Год назад +9

    in literally 6 minutes, I understood more than what our math teacher tried to teach me in 3 school hours, like, hats off to you

  • @ghgrahul9363
    @ghgrahul9363 3 года назад +134

    dude i always thought i was dumb but with your help new doors and oportunities opened up for me
    you extend my league to whats beyond the horizon

  • @user-yr3uj6go8i
    @user-yr3uj6go8i 4 года назад +891

    When you're speed-watching a bunch of calculus videos since your final is in less than a day...

  • @georgesadler7830
    @georgesadler7830 Год назад +13

    MR. Organic Chemistry Tutor, thank you for an excellent demonstration of Infinite Limits and Vertical Asymptotes in Advanced Mathematics.

  • @zulayhaabdijalilova7641
    @zulayhaabdijalilova7641 Год назад +3

    not him handling my whole semester topics in one hand thank youu sm

  • @salturki3511
    @salturki3511 4 года назад +17

    احلى من يشرح ليت كل الدكاترة يشرحو نفسه 😭💜💜

    • @huak5626
      @huak5626 3 года назад +2

      حرفيا

    • @roxys6562
      @roxys6562 2 года назад +1

      صحححح! 😭😭

  • @mubitajosephmwepu
    @mubitajosephmwepu 10 месяцев назад +2

    3:55 And there I heard it "The limit, I mean excuse me haha the limit..."
    This Legend will go down in history books as one of the greatest 🙌. He deserves more than just flowers

  • @AnaGuerra03
    @AnaGuerra03 2 года назад +10

    i am having a test on two days and i am reviewing the topics, but for some reason i didnt completely understand, but thanks to your video, i do now. So, Thank You!

  • @SabaAgartan
    @SabaAgartan 2 месяца назад +1

    this channel so incredibly helpful, i’ve started listening to your videos when i’m driving to school like a podcast

  • @penguin8874
    @penguin8874 6 месяцев назад +3

    You explained this better within the first 10 minutes than my calc professor did in 2 hours

  • @nus_yt
    @nus_yt 5 лет назад +13

    Thank You. This is like the only video that actually makes sense

  • @jeoffreyauscia6841
    @jeoffreyauscia6841 4 года назад +8

    I should've walked in to my Organic Chemistry classes. This guy teaches more efficiently than the teachers that taught me from high school to undergrad

  • @stickmanbattle997
    @stickmanbattle997 2 года назад +6

    On 3rd day of Calculus, I learned
    Limits basic
    Limits graphs
    Limits approach to ∞ and 0
    I understand the axioms of these lessons thankyou so much !

    • @retrocd
      @retrocd 2 года назад +3

      did you master calculus by now? since it's been 5 months since the comment

    • @stickmanbattle997
      @stickmanbattle997 2 года назад +4

      @@retrocd I took a differential calculus from a website now I'm 100% complete but now I'm starting to learn integral calculus, mastering calculus is not easy it takes a lot of time

    • @retrocd
      @retrocd 2 года назад +1

      @@stickmanbattle997 glad about your progress, I know mastering calculus is not easy, I've been learning calc since the past couple years and yet, I don't properly know it

  • @keerthanas1296
    @keerthanas1296 7 лет назад +24

    Really good.............this video clip helps me alot and make me understand all the aspects of infinite limits

  • @0denyfrancis897
    @0denyfrancis897 6 лет назад +10

    It is more than good. May Almighty God bless you abundantly

  • @parkernoor3268
    @parkernoor3268 Год назад +1

    Man your videos are so helpful. I didn't study anything really. I just started studying 1 day before the test and my test is in 2 hours. Your videos are really helping me out

    • @marktawdros4090
      @marktawdros4090 Год назад

      howd you do

    • @parkernoor3268
      @parkernoor3268 Год назад

      @@marktawdros4090 well better than I expected
      I thought I’ll get 40 but I got 75

  • @yakikalasi7112
    @yakikalasi7112 3 года назад +12

    watching this before my class. seems like I already mastered it. :D

  • @سچائیکیتلاشمیں
    @سچائیکیتلاشمیں 18 дней назад

    So much minuteness and meticulous!!!!!!!!. May God bless you!

  • @andreporter595
    @andreporter595 3 года назад +1

    You deserve 20 million subscriptions and millions of dollars in advertising deals!!!!!

  • @rafiakhan7279
    @rafiakhan7279 3 года назад +3

    Extraordinary way of teaching.✌🏾

  • @njk3502
    @njk3502 11 месяцев назад

    this guy is really the definition of "practice makes a man perfect"

  • @silverfang1122
    @silverfang1122 6 лет назад +27

    You have such comprehensive knowledge of maths and science. What did you study?

    • @XxRadientStarxX
      @XxRadientStarxX 5 лет назад +43

      Honestly, I think he studied to be the master of the universe.

    • @akane9140
      @akane9140 5 лет назад +5

      He knows all subjects

  • @williamjeff8910
    @williamjeff8910 6 месяцев назад

    This teaching has been great for me I will spread your name far and wide, I will call you prophet of infinite limits and timeless teaches KEKW
    ,
    Thanks broski

  • @denisse8143
    @denisse8143 3 года назад +1

    I’m passing my calc test Bc of u 🙏🙏🙏🙏

  • @ujumiriam4600
    @ujumiriam4600 2 года назад

    This is the best explanation I've seen

  • @Joker74312
    @Joker74312 2 года назад +2

    I’m in 8th grade rn and I was just like “Screw triangle shit. Imma do calculus” and now I’m here

  • @oooohapenny4707
    @oooohapenny4707 8 месяцев назад +1

    My exam trembles knowing that I watch The Organic Chemistry Tutor😎

  • @KunalKumar-sc5kp
    @KunalKumar-sc5kp 6 лет назад +6

    Thanks may God bless you

  • @bonniesitessolutions7728
    @bonniesitessolutions7728 Год назад +1

    thank you for always using a black background! I am over 60 and have cataracts and white backgrounds hurt so bad!

  • @osvaldosgaming
    @osvaldosgaming 3 года назад +3

    i dont even look back to my professors old lectures anymore

  • @Nael_007
    @Nael_007 4 года назад +3

    God bless this guy

  • @billurekurbanova6765
    @billurekurbanova6765 2 года назад +1

    Çoxsağolunnnn thanks from Azerbaijannnn🇦🇿🇦🇿♥️♥️

  • @champ2.546
    @champ2.546 5 лет назад +68

    I think I learned too much tanx is way past my class😂

    • @lordofkeebs8424
      @lordofkeebs8424 5 лет назад +13

      Better now than later

    • @aayushswami3022
      @aayushswami3022 2 года назад

      Cool to see people like me bro we are going to enjoy being ahead of everyone in the future you will reap the benefits of your hard work for sure and hopefully me too

  • @joshuaaustin2541
    @joshuaaustin2541 5 лет назад +10

    in about 9:15 , shouldn't it be (2.1)^3 divided by (2.1-2) instead of 2^3 divided by (2.1-2)?

    • @raanoooshh9296
      @raanoooshh9296 5 лет назад +1

      thought the same, since it's the same x-value

    • @anonymoushere7862
      @anonymoushere7862 4 года назад +1

      I'm glad I'm not the only one realize that mistake

  • @tastejunk919
    @tastejunk919 6 лет назад +6

    Very helpful thanks for the video

  • @medicisounds1384
    @medicisounds1384 2 месяца назад +1

    Anyone have tips on doing these when you have no calculator?

  • @hanselito2416
    @hanselito2416 3 года назад

    Brushing up before an exam in a few hours. Can only read the book so many times 😂

  • @RaffaelloLorenzusSayde
    @RaffaelloLorenzusSayde 2 года назад +1

    So, the mini negative sign means two things: approaching from the left and 0.0001 less than a number. The mini positive sign means two things: approaching from the right and 0.0001 greater than a number. They need to mention this when solving algebraically, or it will confuse some people like me 🙄 ..

    • @jeremiahnyagah4912
      @jeremiahnyagah4912 2 года назад

      It does not mean 0.0001 from the left or right. As you said the negative means approaching from the left and the positive means approaching from the right. The reason for the 0.0001 is because we want to get closer and closer to the number but not the number itself. For example if it was 5+, we want to get extremely close to 5 from the right but not 5 itself. So what number would be close to 5, it would be 5.01, an even closer one would be 5.001, even closer 5.0001... that is why we use the infinity signs since it will keep getting closer and closer without end but never land on 5 itself. Hope that somewhat was helpful.

  • @Sequence1994
    @Sequence1994 4 года назад +2

    I can't thank you enough

  • @trytowaitforyou6812
    @trytowaitforyou6812 3 года назад

    Thanks man now I don’t feel dumb anymore

  • @noahbossi3790
    @noahbossi3790 3 года назад

    thank you armin you saved me!

  • @amremad8680
    @amremad8680 2 месяца назад

    25:19 why you did not take the 7 as a common factor and clear the x+1 with x+1 so the asymptotes will be -3 and 2

  • @pnk...
    @pnk... 2 месяца назад +1

    Better than the *lgebr*s 😒

  • @kalayuh7340
    @kalayuh7340 6 лет назад

    Thank you for helping me for my assignments lovely video

  • @anicetoaniceto1020
    @anicetoaniceto1020 6 лет назад +4

    12:54 rationalize the denominator

  • @TheScorpionOfficial
    @TheScorpionOfficial 2 года назад

    Perfect content keep it up !

  • @dakdoumbia
    @dakdoumbia 4 года назад +2

    16:53 can you explain it a lil, because you’re supposedly solving for -3 from the left side, so how did we get that result. I’m expecting a different approach

  • @mohammadshinwari9643
    @mohammadshinwari9643 2 года назад

    What is the domain of f(x)=1/(sqrt(x^2-4)? Please explain the modulus or absolute value at the end!!!

  • @asmaiqbal402
    @asmaiqbal402 5 лет назад +1

    Make a video on difference between infinity and undefined

    • @raanoooshh9296
      @raanoooshh9296 5 лет назад

      I don't think a full video for that is necessary.
      + (infinity) means that a number is getting larger and larger
      - (infinity) means that a number is getting smaller and smaller
      If something is undefined that means that there is no particular answer, for example when something is going to + (infinity) when x-->0 from the right side but goes to - (infinity) when x-->0 from the left side, as you would see in a lot of these practice problems.

  • @HoneyBee-wr2hv
    @HoneyBee-wr2hv 6 месяцев назад

    for the answer at 12:15 why did you substitute -3 and why not 2.9?

  • @ibrahimSeifeddine-f1p
    @ibrahimSeifeddine-f1p 9 месяцев назад

    I can solve like this when it is evaluate the limits? Or determine the infinite limit?

  • @davyyvescaubanan9232
    @davyyvescaubanan9232 Год назад

    3:58 the "I mean, excuse me. ehe" is kinda cute sir AHAAH

  • @exmondasante8424
    @exmondasante8424 3 года назад +2

    You the best

  • @kimluc6764
    @kimluc6764 6 лет назад +1

    Thanks so much 😍 you help me understand this complicated limit

  • @samiulislamdurjoy
    @samiulislamdurjoy 4 года назад

    G 187
    note : limit of x does not exist but x^2 exist 2:36
    this video concept is almost new. read it again

  • @PawnUp
    @PawnUp 3 года назад +2

    If he is a teacher all the class have to get 100

    • @RaffaelloLorenzusSayde
      @RaffaelloLorenzusSayde 2 года назад

      I'd fall asleep while listening to his calm soothing voice 😌😴 ..

  • @malcolm4050
    @malcolm4050 3 года назад

    Why exactly does this equation solve on a graph for example? Is it the y value when x reaches the limit?

  • @tsegakagnew6442
    @tsegakagnew6442 3 года назад +1

    Thank u sincerely ❤️

  • @clarizaatillo1839
    @clarizaatillo1839 2 года назад

    Why you ddint factor out the dinominator on lim x aproaches 4
    x^2
    -------------
    x^2+25
    ??

  • @sadrayarmohammadi6627
    @sadrayarmohammadi6627 3 года назад

    You are freaking good

  • @miguelreyes7661
    @miguelreyes7661 4 года назад

    Thanks man, so useful

  • @darianprotho6622
    @darianprotho6622 2 года назад

    Thank you. What do you mean by x=5 is a hole?

  • @NikhilKillamsetti
    @NikhilKillamsetti 2 месяца назад

    can you solve this by epsilon delta method

  • @seanwells1672
    @seanwells1672 6 лет назад +10

    Could you please add epsilon-delta proofing to your list?

    • @HillofNeedles
      @HillofNeedles 5 лет назад

      bob nguyen I hate those!

    • @nicholasmaloof8378
      @nicholasmaloof8378 5 лет назад +2

      I second this, even though it won't be out by the time I need it - it'll be useful for future viewers

    • @insiya4561
      @insiya4561 5 лет назад

      bob nguyen watch secret math tutor. He taught it so simple. :)

  • @ddahstan6876
    @ddahstan6876 2 года назад

    "So when the Lemon..." I'm at that level of dyslexic right how ... Exactly how my head feels right now, sour and small as I'm squeezing it its juice out of it to stay awake... :-))

  • @librarieskim8569
    @librarieskim8569 Год назад

    Is it illegal in ur coumtry to say zero. Why do u keep saying ''point 1''.😥 I was confused thinking am wrong . Anyway you're the best man and hr voice🧡

  • @mortified9217
    @mortified9217 4 года назад

    12:14 The factors for the expression would be -3 (x+3) and 2 (x-2), not -2 and 3.

  • @menhune810
    @menhune810 4 года назад

    At 10.08 its negative infinte if we factorize the denominator

  • @michaeldominguezjr7503
    @michaeldominguezjr7503 Год назад

    I’m a little confused. At about 22min in, you use trig values and talk about approaching 90 degrees from the right, you state that it is 90.1 but wouldn’t that be approaching from the left?? You say 90.1 is in the left quadrant as well. I guess in my head I’m thinking of the unit circle and approaching 90 starting from 0 degrees which would be from the right and it would be 89.9. Is that wrong on my part??

    • @benjamin3615
      @benjamin3615 2 месяца назад

      Think the actual trig function on a xy graph and not the unit circle. Approaching 90⁰ from the right means you're heading left on the x axis. Coming from the left would be 89.9, etc.

  • @ayansuleymanova03
    @ayansuleymanova03 2 года назад

    Legend. Thanks a bunch.

  • @zulechagenalzate1689
    @zulechagenalzate1689 3 года назад +1

    thank you!

  • @hazimrassam9389
    @hazimrassam9389 5 лет назад +1

    keep it up man

  • @ngaveel9156
    @ngaveel9156 2 года назад

    am all good ,hope you are well .why is x-5 a hole ?

  • @serinacat4781
    @serinacat4781 4 года назад

    Really helpful

  • @yuussee
    @yuussee 2 года назад

    You're amazing

  • @YadoOrTAE
    @YadoOrTAE Год назад

    Thank you 🙏🏾🫡

  • @kalai8867
    @kalai8867 5 лет назад

    which tool are you used for teach

  • @ElifArslan-l9g
    @ElifArslan-l9g 4 года назад

    thank you angel

  • @rebeccatube7995
    @rebeccatube7995 3 года назад

    Thank you so much

  • @corgilover69
    @corgilover69 8 месяцев назад

    3:56 that little laugh 😭

  • @hepburn6389
    @hepburn6389 2 года назад

    12:55 why did he subtract it to -3? since it`s in the left side we should be subtracting it to -2.9 right?

    • @squidynamite
      @squidynamite Год назад

      Ik I’m 10 months late but, -2.9 is on the right side of -3. To answer your question, I’m assuming since x + 3 cancels out, there’s no restriction for -3, meaning he could put it in the function to see if there’s a hole or not.

    • @faisalmohamed4595
      @faisalmohamed4595 11 месяцев назад

      ​@@squidynamitewow really ? What if i blug like -3.1 will it work

  • @hojiafzal9559
    @hojiafzal9559 8 дней назад

    Excellent tutorial. But can you please not say "lef". It's "left" :)

  • @SudeYILDIRIM-r2e
    @SudeYILDIRIM-r2e Месяц назад

    didn't he find values of tan90.1 and tan90.01 wrong at 17:53 ?

  • @a3van609
    @a3van609 5 лет назад +1

    12:50 shouldn't it be 1/(-2.9-2) as x approaches -3^- ?

    • @kuurdiii
      @kuurdiii 4 года назад

      lol i thought the same thing. that made me go on google and type " when to plug limit to equation and when not to " it threw me off but i think he messed up on that part.

    • @deji_ace
      @deji_ace 4 года назад

      @@kuurdiii I think its cause you could factor the buttom and get the same at the top. PS i dont know jack shit in calc

    • @hectorolohoy2746
      @hectorolohoy2746 4 года назад +2

      You can simply substitute -3 to x if doing so will not result to n/0 (undefined). You can also try to substitute -2.9 or -2.999999, but the answer will still get closer to -1/5.

  • @melaniegomez5864
    @melaniegomez5864 4 года назад

    Thank you😊

  • @esthetic0516
    @esthetic0516 Год назад

    When the hell did this become so easy, istg I've had mental breakdowns bc of this but now I'm suddenly "hehe easy hehe" I'm blaming my teacher and me👀

  • @mohammedmohsen6344
    @mohammedmohsen6344 7 лет назад +1

    Thanks a lot

  • @saburousaitoh
    @saburousaitoh 2 года назад

    For f(x) = 1/x, f(o) = 0;

  • @xrusheto4428
    @xrusheto4428 2 года назад

    7:05 isnt the function aproching the vertcal Asymptote which is 2 ?

    • @JKMath
      @JKMath 2 года назад

      Limits give the y value that a function is headed towards as it approaches a particular x value. You are correct that there is a vertical asymptote at x=2, but that is the x value, not the y value. If you were to graph the function in this problem, you would see that as the function gets closer to the value of x=2, the vertical asymptote, the y values are increasing infinitely from the left side, and decreasing infinitely from the right side (as found in the video). Hope this helps!

  • @oopsiesbrother
    @oopsiesbrother 2 года назад

    Anyone have a list of trig topics needed for calculus?

  • @billberko-ew3wx
    @billberko-ew3wx Год назад

    Please can try solving this question lim(2tanx-x÷sin2x)
    x>0

  • @dzanegulles
    @dzanegulles 6 лет назад

    I'm a bit confused at 14:29. where dif you get the +1/x?

    • @joshuaaustin2541
      @joshuaaustin2541 5 лет назад +1

      he used a piecewise function

    • @hectorolohoy2746
      @hectorolohoy2746 4 года назад

      He was just showing that 1/x x=/=0 is +INF and therefore, -1/x is -INF. Like, solving using logic.

  • @mlc_evaporate9010
    @mlc_evaporate9010 2 года назад +1

    if you go to negative two from the left it should be like -2.1 and -2.01... but instead you to 1.9?

    • @aramish3037
      @aramish3037 2 года назад

      its not negative two, it's positive two. so you are going left from 2 which is 1.9.

    • @princesskimrobles1534
      @princesskimrobles1534 2 года назад

      It's less than 2. Or should I say 2 from the left

    • @mlc_evaporate9010
      @mlc_evaporate9010 Год назад

      @@aramish3037 oh my bad

  • @aliabdullah7820
    @aliabdullah7820 6 лет назад

    so helpful

  • @ravyarfatih3388
    @ravyarfatih3388 5 лет назад

    thank man it is help me too mach