Limits at Infinity & Horizontal Asymptotes

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  • Опубликовано: 27 ноя 2024

Комментарии • 329

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +27

    Limits - Free Formula Sheet: bit.ly/3T3dD2X
    Final Exams and Video Playlists: www.video-tutor.net/
    Math and Science Tutors: bit.ly/Find-a-Tutor
    Next Video: ruclips.net/video/fHzmQmcvheI/видео.html

    • @inemibok
      @inemibok Год назад

      Can someone please explain why at 10:13 he multiplied both top and bottom by 1/x instead of 1/x²
      @The Organic Chemistry Tutor
      Tnx ❤️

  • @adamantcapitol
    @adamantcapitol Год назад +346

    Your explanations are simply the best. I appreciate so much that you don't take shortcuts and aren't afraid to review the fundamentals during the examples. I wish I could pay you for my Calculus class instead of my university.

  • @splendidjihoon5464
    @splendidjihoon5464 5 лет назад +588

    i wasted my 3 hrs listening to my calculus teacher without learning it. and now, i learned it instant for only 20 min. wow. thanks

    • @pandavx
      @pandavx 4 года назад +13

      x2 the speed and learn it in 10 min

    • @alikhidzam3749
      @alikhidzam3749 3 года назад +9

      My calculus teacher dint even teach how to find the limit of infinity

    • @diglis1033
      @diglis1033 2 года назад +5

      @@alikhidzam3749 you serious? That should be one of the first things you learn in calc 1

  • @o.g.dominus
    @o.g.dominus 4 года назад +2281

    Fun fact: Everybody rushes down here when a test threatens them. Don't worry, we are all in this together. I have a test by sunrise.

    • @fazalshaik8399
      @fazalshaik8399 3 года назад +5

      Same

    • @fazalshaik8399
      @fazalshaik8399 3 года назад +8

      How did it go??

    • @o.g.dominus
      @o.g.dominus 3 года назад +73

      @@fazalshaik8399 To summarise it, I just scored a 5.0/5.0 in my math this semester. Thanks to this tutor here

    • @fazalshaik8399
      @fazalshaik8399 3 года назад +9

      @@o.g.dominus I hope mine does too

    • @o.g.dominus
      @o.g.dominus 3 года назад +10

      @@fazalshaik8399 Good luck brother. I pray you get it too🙏

  • @afrolly2215
    @afrolly2215 6 лет назад +395

    You’re a life saver man I love your videos, you explain better than my college professor lol

  • @omarahmad2311
    @omarahmad2311 3 года назад +17

    My prof is a German teacher with the heaviest accent ever, I also don’t really understand her method, but this one man explains in one clear shot 💯

  • @user-tw4kt8du9t
    @user-tw4kt8du9t 4 года назад +16

    I actually dont know how many extra hours I would spend on calc without your videos. Thanks so much. Youre a god.

  • @munenebrilliant1774
    @munenebrilliant1774 6 лет назад +260

    God is using you man .

  • @Mayoda4real
    @Mayoda4real 3 года назад +13

    This man just proves how bad, some university teachers are, they are paid a bunch of money but can't teach shit. This man makes it so simple to understand. Thanks for this channel

  • @jailkhan8548
    @jailkhan8548 3 года назад +57

    In 20 mins i have learned more than I ever did from my prof's lectures.

  • @georgesadler7830
    @georgesadler7830 Год назад +22

    MR. Organic Chemistry Tutor, thank you for an excellent explanation of Limits at Infinity and Horizontal Asymptote in Calculus One/Two.

  • @alexiamaxwell1816
    @alexiamaxwell1816 2 месяца назад

    THANK YOU SO MUCH YOU DESERVE ALL THE MONEY IN THE WORLD!!! MY CALC 1 PROFESSOR TOOK 2 HOURS AND 30 MINUTES TO EXPLAIN THIS BUT I LEARNED WAY MORE FROM YOU IN THE SPAN OF 10 MINUTES!!! THANK YOU!!

  • @MaurianeBanza
    @MaurianeBanza Год назад +3

    I understand Math with you better than my prof. Your voice helps me

  • @cloudslady3400
    @cloudslady3400 7 месяцев назад +1

    The best thing about this guy is how short his videos are I spent days and days studying with zero results…in less than twenty minutes it all makes sense

  • @lavishkajaanvi6466
    @lavishkajaanvi6466 Месяц назад

    i wish you could have been my lecturer at university, i would have understand it on the spot without wasting my time sitting there for 3 hours and don't understand anything, thank you for posting these videos, it's been really helpful

  • @samiulislamdurjoy
    @samiulislamdurjoy 4 года назад +8

    G 191 11:38
    note 5:25 any time the function is bottom heavy with infinity limits the functions is equal to zero
    note 5:25 any time degree is equal the ans is coefficient ratio

  • @iiii1450
    @iiii1450 5 лет назад +40

    you are really really really helping me in physics and also calculus, man you are really better than all the professors in my university you are a great teacher i am really rely on you man thank you soooooo much

    • @garangbol793
      @garangbol793 4 года назад +1

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    • @m7mdarwani964
      @m7mdarwani964 4 года назад +1

      @@garangbol793 في كثير عرب معتمدين على الله ثم على هالشب

  • @williamessel2958
    @williamessel2958 Год назад +37

    Notice that he never asks you to subscribe😂😂😂. Legendary

    • @MavistoPule
      @MavistoPule 5 месяцев назад +3

      Coz he knows you'll be watching his videos when exams arrive 😂😂😂

    • @MavistoPule
      @MavistoPule 5 месяцев назад +1

      Coz he knows you'll be watching his videos when exams arrive 😂😂😂

    • @henrymundia8191
      @henrymundia8191 3 месяца назад

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  • @Hoover04
    @Hoover04 2 года назад +3

    u have the most positive effect on this humanity only god knows how to reward u..... class of 2023 appreciates u 🙏🙏🙏

  • @nicholasachuz8329
    @nicholasachuz8329 2 года назад +31

    This was helpful as always, yet it is still challenging to me a little bit because there's no consistency in the procedures so that we can use the same approach to every rational function.

  • @shuhadakherudin5468
    @shuhadakherudin5468 4 года назад +1

    watched your vids for my igcse revision. I'm in college now and I still watch your vids to understand better. Thank you!

  • @HAHA-rf4dc
    @HAHA-rf4dc 4 года назад +6

    every time when i fell hopeless for math, you came out

  • @tranquoclan5043
    @tranquoclan5043 4 года назад +7

    At 11:35, since x goes to infinity, I think that we have to consider both case: (1) x goes to positive infinity and (2) x goes to negative infinity. In case (1), the answer is 2 (positive 2), but in case (2) the answer is -2 (negative 2) . In this problem, the method divide both numerator and denominator by 1/x is not a good choice. Instead, divide both numerator and denominator by 1/abs(x) (abs(x): absolute value of x) would be more generally correct. In case (1), 1/abs(x) equals 1/x (positive 1/x) and in case (2), 1/abs(x) = 1/-x (negative 1/x).

  • @maryam4587
    @maryam4587 5 лет назад +64

    "The exponent doubles once you move it inside" 19: 21 I bet many of you are confused but hopefully this one sentence help just like it helped me lol

    • @sharansahota5498
      @sharansahota5498 5 лет назад +2

      thank youuuu I was confused on that

    • @kofi4927
      @kofi4927 3 года назад +1

      bruh i was hella confused about this before i saw this video

  • @unknown159
    @unknown159 2 года назад +2

    I am here before every test, this time I am here before my final. Somehow just from watching these videos for like 2 days, I manage to always ace my tests, even though I slacked off the entire semester. LOL

  • @supernova9752
    @supernova9752 Год назад +1

    thank you so much, you're saving my calculus grade and i'm actually learning and understanding what to do

  • @Bilalsahmad
    @Bilalsahmad 2 года назад

    i have my test tommorow and you saved my life, thanks

  • @youssefosama4466
    @youssefosama4466 6 лет назад +101

    Keep it up man,you're a huge help

  • @hooligan1602
    @hooligan1602 9 месяцев назад

    I haven’t finished the video but I’ve been studying other calc sections for my quiz tomorrow and you just apply the power rule to top and bottom and you get the answer, so all constants = 0, for the constants that have a variable you multiply it by 1 and divide and get the answer. hopefully this helps someone in the future!

  • @ish1mwe
    @ish1mwe Год назад +1

    Good professor, I wish you to come in Rwanda🇷🇼 C's we love you alot.
    God bless you.

  • @kurokubushi
    @kurokubushi Год назад +2

    One short cut rule you didn't seem to cover was when the x value is greater in the numerator (ex: 3x^4-10/6x^2+20) the limit will be +/- infinity since the top is outgrowing the bottom.

  • @daneshipway581
    @daneshipway581 4 года назад +4

    Mate I love your videos, I've been writing out the theory understanding as best I can and as soon as I hit a road block your the man I come to, and everything I've learnt makes fence

  • @ThornedRose134
    @ThornedRose134 3 месяца назад

    You made limits so so so so so so so so soooooo much easier. Thank you. For realsies.

  • @UsagiTejima
    @UsagiTejima 2 месяца назад

    This man always gives me hope that I can beat my every math exams.

  • @darthTwin6
    @darthTwin6 2 года назад

    Very Helpful For My AP Calculus BC class. You're a lifesaver!

  • @sofzhuk1188
    @sofzhuk1188 4 года назад

    first calc test tomorrow and I think you'll be the reason I pass :) thank you

  • @simonpeapo9521
    @simonpeapo9521 3 года назад +2

    King 👑 of maths,, gifted mind

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    @fatimakane8542 2 месяца назад +1

    hell yea organic chemistry tutor, u da goat

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    @doaaahmed9730 6 лет назад +3

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    @kennethjoseph8360 2 года назад +3

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    @gabrieljoe9155 2 месяца назад

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    @ralphpagangpang1 4 года назад +5

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    @gregsong1388 4 года назад +1

    literally SAVED my life.

  • @carolnoelle2468
    @carolnoelle2468 4 месяца назад +1

    The x doubles inside the sqr rt! Omg thank goodness I was so confused thanks!!!!

  • @asoup1972
    @asoup1972 2 года назад

    The answer at 9:20 really helped me out. Thanks a lot!

  • @SenumiDinanga
    @SenumiDinanga 3 года назад +7

    Thank you soo much for putting out these vids! legit I'm so grateful! you literally make me love maths

  • @potatodestroyer7688
    @potatodestroyer7688 4 года назад +2

    The world without the organic chemistry would be a dark place

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    @justinfisher5339 3 года назад +2

    This is the insanely interesting actually.

  • @carterspringer48
    @carterspringer48 Год назад

    Dude I fucking love you man thank you so much for making videos I know you get these kinds of comments on all your video but they help so much I just watched a 10 minute video from a University professor who basically explained nothing then to come here and learn everything in 2 minutes is crazy

  • @Melinda-xx8oe
    @Melinda-xx8oe 6 лет назад +3

    The best freaking video on RUclips

  • @hazimrassam9389
    @hazimrassam9389 5 лет назад +1

    At 11:35 the answer should be -2 because when x enters inside the square root it becomes x^2 and you have to multiply the limit by a negative sign.

    • @pablogonzalez3705
      @pablogonzalez3705 4 года назад +2

      What you are saying is true when x -> - infinity, not when x -> infinity

  • @jazzm786
    @jazzm786 2 года назад

    this is suchhh a good explanation. i needed this step by step explanation

  • @5nanometers
    @5nanometers Год назад +8

    16:14 Why did he multiply the radical in the denominator by 1/x^2, but the rest of the denominator by 1/x? I'm guessing it's because in the end, you're taking the limits individually, but I don't get the rule

    • @mirana6157
      @mirana6157 8 месяцев назад

      "Inside a radicle, we need to multiply by 1/x^2" is what he says.
      Because the 1/x is going under the radicle, its supposed to turn into
      1/x^2.
      Hope this helps!

    • @MohitBaboria
      @MohitBaboria Месяц назад

      Because √(x²) = x for x ≥ 0

  • @iintroini
    @iintroini Год назад +5

    Test in 45 mins 🗿

  • @AsifRaf1
    @AsifRaf1 3 года назад

    Best maths teacher
    Thanks a lot for all the help

  • @ayaansiddiqui3086
    @ayaansiddiqui3086 3 года назад

    I don t have any test . But it looks more fun than boring algebra i study in school. That s why i am learning this for fun

  • @frankchitala1164
    @frankchitala1164 Год назад

    well articulated and i could go on and work out on the rest of the questions on my own.
    🙏

  • @noelkuhomiemaihi5542
    @noelkuhomiemaihi5542 8 месяцев назад

    Thank you so much Mr Julius Gonzalex

  • @LanceBarut
    @LanceBarut 9 месяцев назад +4

    Why go to school when we have RUclips

  • @edelwafula378
    @edelwafula378 3 года назад

    Thank you very much at least you have given me directions and I would like you to give us as more examples as possible for me to be in a good position..

  • @mmatlouchristainah4947
    @mmatlouchristainah4947 4 года назад +2

    Ur video's are the best 💯 thank you for helping me 🙏

  • @okekeemmanuelchidubem9807
    @okekeemmanuelchidubem9807 4 года назад +1

    this tutorial
    is really helpful to me

  • @madhuradeshmane9612
    @madhuradeshmane9612 Год назад +1

    thank you ,learned a lot in this video and you are a huge help

  • @strugglingcollegestudent
    @strugglingcollegestudent 3 года назад +1

    this is so much easier I honestly wish they taught us in precalc

    • @neutronzz3543
      @neutronzz3543 2 года назад

      So ur learning calculus in precalculus makes no sense

  • @hanslarrobis117
    @hanslarrobis117 3 года назад +12

    may i ask on the second to the last problem, why do we need to multiply
    1/x on both sides?

  • @daniellakayedolotalias3326
    @daniellakayedolotalias3326 Год назад

    Your videos really are a big help to me. Thank You!

  • @suverchasharma1814
    @suverchasharma1814 4 года назад +4

    Thank you so much, the wide range of examples really helped me out!

  • @yapsejaiteh7
    @yapsejaiteh7 3 года назад +2

    Your explanation are really clear and understandable. Your videos are really helping me

  • @blaq-barbieandnick497
    @blaq-barbieandnick497 2 года назад +8

    why do we have to multiply the fraction by 1/x😢

    • @safwanrushdan5260
      @safwanrushdan5260 3 месяца назад

      to make sure that the x become a denominator with a value of 0

  • @SuperEH2393
    @SuperEH2393 6 лет назад +1

    wish i could write and listen as fast as you man

  • @rabunitube
    @rabunitube Год назад +1

    Thanks my techer

  • @davidkeele5056
    @davidkeele5056 2 года назад +2

    This was so unbelievably helpful thank you

  • @ahmedyousif4782
    @ahmedyousif4782 3 года назад

    you saved my life....

  • @michellecampa9850
    @michellecampa9850 3 года назад +10

    at 16:06 shouldntthe 9 be multiplied by 1/x^2 instead of 1/x because x^2/x is still x???? im confused pls help

    • @plon5284
      @plon5284 2 года назад +13

      ok im a year late but it turns out to be 9 because to be able to multiply √(9x^2) by (1/x) to cancel out the highest exponent, you need to get into the radical. So what he did without explaining was he converted (1/x) into (1/√x^2) bc they're the same, so √(9x^2)/(1/x) = √(9x^2)/√(1/x^2) which makes it √9. -bored college student

  • @dagatejohnelo.6153
    @dagatejohnelo.6153 3 года назад

    Thank your so much ,I really struggling to this

  • @jonnydobandliamried8094
    @jonnydobandliamried8094 6 лет назад +4

    THANK U, some other vid just showed dthe tricks on how to figure it out but didn't explain y, thanks man

  • @creature._.
    @creature._. Год назад

    My savior, year to year

  • @abigail8885
    @abigail8885 Год назад

    This is my main man right here

  • @realrishiiscoolgaming9548
    @realrishiiscoolgaming9548 3 года назад

    my sir took x^m as common and divide so we have up to x^3 so we can write it as a(1/X^1or 2 or 3)=a(0)=0

  • @priyaangadi1213
    @priyaangadi1213 2 года назад

    awesome math tutorial .

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    @ElifArslan-l9g 4 года назад

    you sound like an angel

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    @obedpreveau9247 2 года назад +4

    Life insurance for all college students

  • @maryamkharal2444
    @maryamkharal2444 3 года назад

    Thank you for uploading this video! It was such a big help.

  • @jayantijally5258
    @jayantijally5258 5 лет назад

    Sir please solve the question.
    Evaluate lim n tends to infinite x to the power n divided by e to the power x

  • @akudandia6564
    @akudandia6564 3 года назад

    amazing.. i easy to understand it... can teach me how to learn and how to teach..

  • @Cat-ij2rk
    @Cat-ij2rk 3 года назад

    Honestly, Thank you so much!

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    @davidbikumbi5981 2 года назад

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    @Totally_Unfiltered 2 месяца назад +1

    All I can say is ILY😣👆

  • @muthoninthiga
    @muthoninthiga Год назад

    Thanks so much, this is so helpful

  • @delulus_0
    @delulus_0 Год назад +4

    15:36 why did he multiply the top and the bottom with 1/x instead of 1/x^2 since the highest degree is 2?

    • @DanielKuvanychbekov
      @DanielKuvanychbekov 8 месяцев назад +1

      same question

    • @korcakd2
      @korcakd2 3 месяца назад +1

      Because he got rid of it in the numerator and in the denominator it’s inside a square root. Therefore, x is the highest

  • @elis2506
    @elis2506 4 года назад +3

    quick question, for the problem w (square root of 9x^2+x) - 3x, why couldnt we plug in infinity right away? x^2 is the biggest term, so wouldn't it determine the behavior of the limit and cause it to tend towards infinity?

  • @venunisandhan8624
    @venunisandhan8624 3 года назад

    I am grateful to you 🥰🥰

  • @vilarseirei
    @vilarseirei Год назад +4

    I have a test in an hour

  • @VndNvwYvvSvv
    @VndNvwYvvSvv 4 года назад +1

    Can you.please show these carrying the proper Lim notation through the whole problem? Even with the "work" shown, it skips steps or notation which we need to show on every step.

  • @tayammourad447
    @tayammourad447 4 года назад +1

    DAMN I LEGIT FOUND THE JACKPOT

    • @BNETTERS
      @BNETTERS 4 года назад

      In the beginning around 4:10 do you know why he divided the top and bottom by 1/x?

    • @omaremad9125
      @omaremad9125 3 года назад

      @@BNETTERS we always multiply by the reciprocal of the highest powered x in the denominator
      The highest power in that denominator was 1 which is x so it’s reciprocal is 1/x
      We do that to reach the formula 1/x^r which is equal 0

  • @glance7335
    @glance7335 Год назад +1

    12:28 HOW DO YOU DECIDE WHICH FRACTION YOU SHOULD MULTIPLY WITH

  • @jeanetteann8189
    @jeanetteann8189 4 года назад +8

    15:50 dude, when did 9x^2 divided by x became 9??

    • @Jacobk2403
      @Jacobk2403 4 года назад +15

      since it is inside a root, you have to divide by 1/x^2 and not 1/x

    • @uba_Michael10
      @uba_Michael10 3 года назад

      @@Jacobk2403 thanks boss I understand ur point clearly

  • @laurencoste611
    @laurencoste611 4 года назад

    Are videos from 5 years ago not working? Yes, yes their are

  • @mr.einstein727
    @mr.einstein727 2 года назад +1

    the comments are legit just people who listen without processing shit or taking notes smh.

  • @reemhantoli6695
    @reemhantoli6695 5 лет назад

    You are very very good