Infinite Limits and Vertical Asymptotes

[@TheOrganicChemistryTutor]

Limits - Free Formula Sheet: bit.ly/3T3dD2X Limits - Video Lessons: www.video-tutor.net/limits.html

[@CarmenMacDonnell]

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.

[@khadijaSallau]

Amen❤

[@adambirouk4046]

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]

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]

@@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]

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

[@benjamin3615]

​@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.

[@user-yr3uj6go8i]

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

[@nachos5142]

Midterms

[@sleepdeprivedstudent6789]

less than 5 hours

[@darabkhan9777]

Started 5 minutes ago

[@adid2605]

30 mins later

[@iatehoshischicken2128]

😭

[@mariosvourliotakis]

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

[@gabyc5509]

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

[@bbycatto]

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

[@sumayaal-kuwari2800]

thank uuu

[@nuubxiii5278]

Thank you L. Much appreciated.

[@MjMori4444]

thanks

[@katie4529]

thanks sm :)

[@lolygagger5991]

thank you!

[@ghgrahul9363]

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

[@Yada_690]

Poetic words

[@georgesadler7830]

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

[@mubitajosephmwepu]

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

[@meenachoudhary1467]

Why he said that?

[@zulayhaabdijalilova7641]

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

[@jeoffreyauscia6841]

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

[@penguin8874]

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

[@SabaAgartan]

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

[@AnaGuerra03]

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!

[@nus_yt]

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

[@parkernoor3268]

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]

howd you do

[@parkernoor3268]

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

[@stickmanbattle997]

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]

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

[@stickmanbattle997]

@@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]

@@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

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احلى من يشرح ليت كل الدكاترة يشرحو نفسه 😭💜💜

[@huak5626]

حرفيا

[@roxys6562]

صحححح! 😭😭

[@staybased9320]

doctors?

[@keerthanas1296]

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

[@williamjeff8910]

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

[@njk3502]

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

[@yakikalasi7112]

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

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

[@godisgerate11.]

from high school to university, u wear there for me. thank u!

[@سچائیکیتلاشمیں]

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

[@oooohapenny4707]

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

[@JacobMachenje]

Yep you're right

[@rafiakhan7279]

Extraordinary way of teaching.✌🏾

[@silverfang1122]

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

[@XxRadientStarxX]

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

[@akane9140]

He knows all subjects

[@joshuaaustin2541]

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]

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

[@anonymoushere7862]

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

[@0denyfrancis897]

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

[@denisse8143]

I’m passing my calc test Bc of u 🙏🙏🙏🙏

[@Joker74312]

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

[@dakdoumbia]

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

[@med-tricks5719]

👍

[@ujumiriam4600]

This is the best explanation I've seen

[@HoneyBee-wr2hv]

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

[@bonniesitessolutions7728]

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

[@amremad8680]

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

[@davyyvescaubanan9232]

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

[@faisalmohamed4595]

😂😂😂😂😂😂

[@osvaldosgaming]

i dont even look back to my professors old lectures anymore

[@champ2.546]

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

[@lordofkeebs8424]

Better now than later

[@aayushswami3022]

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

[@TheScorpionOfficial]

Perfect content keep it up !

[@hepburn6389]

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]

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]

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

[@hanselito2416]

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

[@michaeldominguezjr7503]

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]

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.

[@billurekurbanova6765]

Çoxsağolunnnn thanks from Azerbaijannnn🇦🇿🇦🇿♥️♥️

[@ibrahimSeifeddine-f1p]

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

[@malcolm4050]

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

[@a3van609]

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

[@kuurdiii]

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]

@@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]

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.

[@kalayuh7340]

Thank you for helping me for my assignments lovely video

[@trytowaitforyou6812]

Thanks man now I don’t feel dumb anymore

[@mohammadshinwari9643]

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

[@tastejunk919]

Very helpful thanks for the video

[@KunalKumar-sc5kp]

Thanks may God bless you

[@clarizaatillo1839]

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

[@xrusheto4428]

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

[@JKMath]

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!

[@dzanegulles]

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

[@joshuaaustin2541]

he used a piecewise function

[@hectorolohoy2746]

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

[@asmaiqbal402]

Make a video on difference between infinity and undefined

[@raanoooshh9296]

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.

[@anicetoaniceto1020]

12:54 rationalize the denominator

[@SudeYILDIRIM-r2e]

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

[@samiulislamdurjoy]

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

[@iatehoshischicken2128]

sorry i don't understand. can u explain it further?

[@librarieskim8569]

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🧡

[@medicisounds1384]

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

[@menhune810]

At 10.08 its negative infinte if we factorize the denominator

[@RaffaelloLorenzusSayde]

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]

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.

[@ngaveel9156]

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

[@kimluc6764]

Thanks so much 😍 you help me understand this complicated limit

[@darianprotho6622]

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

[@noahbossi3790]

thank you armin you saved me!

[@ddahstan6876]

"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... :-))

[@corgilover69]

3:56 that little laugh 😭

[@omerdemirkiranofficial]

hear me out

[@kalai8867]

which tool are you used for teach

[@NikhilKillamsetti]

can you solve this by epsilon delta method

[@seanwells1672]

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

[@HillofNeedles]

bob nguyen I hate those!

[@nicholasmaloof8378]

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

[@insiya4561]

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

[@mortified9217]

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

[@med-tricks5719]

No the factors are true 👍

[@Sequence1994]

I can't thank you enough

[@Nael_007]

God bless this guy

[@jesussaquin6266]

Do you teach at a university?

[@gauravbatra9987]

3:55 But doesn't that prove 1/0 = infinity?

[@isabela.111]

No bc the left and right limits are not equivalent

[@PawnUp]

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

[@RaffaelloLorenzusSayde]

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

[@tsegakagnew6442]

Thank u sincerely ❤️

[@esthetic0516]

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👀

[@oopsiesbrother]

Anyone have a list of trig topics needed for calculus?

[@miguelreyes7661]

Thanks man, so useful

[@sadrayarmohammadi6627]

You are freaking good

[@YadoOrTAE]

Thank you 🙏🏾🫡

[@mlc_evaporate9010]

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]

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

[@princesskimrobles1534]

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

[@mlc_evaporate9010]

@@aramish3037 oh my bad

[@saburousaitoh]

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

[@exmondasante8424]

You the best

[@ayansuleymanova03]

Legend. Thanks a bunch.

[@hazimrassam9389]

keep it up man

[@melaniegomez5864]

Thank you😊

[@serinacat4781]

Really helpful

[@zulechagenalzate1689]

thank you!

[@pnk...]

Better than the *lgebr*s 😒

[@rebeccatube7995]

Thank you so much

[@billberko-ew3wx]

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

[@hojiafzal9559]

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

[@opueneoyeinbomo9634]

😂😂

[@yuussee]

You're amazing

[@mohammedmohsen6344]

Thanks a lot