Limits at Infinity & Horizontal Asymptotes
This calculus video tutorial explains how to evaluate limits at infinity and how it relates to the horizontal asymptote of a function. Examples include rational functions, radical functions, inverse trigonometric functions and exponential functions. This video contains plenty of practice problems on evaluating limits at infinity analytically with radicals, square roots, and trig functions.
Introduction to Limits:
• Calculus 1 - Introduct...
How To Evaluate Limits From a Graph:
• How To Evaluate Limits...
Evaluating Limits By Factoring:
• Evaluating Limits By F...
Limits of Rational Functions :
• Limits of Rational Fun...
Limits of Radical Functions:
• How To Evaluate Limits...
Limits of Trigonometric Functions:
• Limits of Trigonometri...
___________________________________
How To Find The Limit at Infinity:
• How To Find The Limit ...
Infinite Limits + Vertical Asymptotes:
• Infinite Limits and Ve...
Limits at Infinity With Radicals:
• Limits at Infinity Wit...
Limits of Absolute Value Functions:
• Limits and Absolute Value
Limits of Composite Functions:
• How To Find The Limit ...
The Squeeze Theorem:
• Squeeze Theorem
____________________________________
Limits and Logarithms:
• Limits and Logarithms
Limits of Exponential Functions:
• Limits of Exponential ...
Piecewise Functions - Limits:
• Piecewise Functions - ...
3 Step Continuity Test:
• 3 Step Continuity Test...
Continuity and Differentiability:
• Continuity and Differe...
Limits - Test Review:
• One Sided Limits, Grap...
_____________________________________
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@inemibok
Жыл бұрын
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 ❤️
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.
@HarvardUni
5 ай бұрын
AGREED
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
3 жыл бұрын
Same
@fazalshaik8399
3 жыл бұрын
How did it go??
@o.g.dominus
3 жыл бұрын
@@fazalshaik8399 To summarise it, I just scored a 5.0/5.0 in my math this semester. Thanks to this tutor here
@fazalshaik8399
3 жыл бұрын
@@o.g.dominus I hope mine does too
@o.g.dominus
3 жыл бұрын
@@fazalshaik8399 Good luck brother. I pray you get it too🙏
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
3 жыл бұрын
x2 the speed and learn it in 10 min
@alikhidzam3749
3 жыл бұрын
My calculus teacher dint even teach how to find the limit of infinity
@diglis1033
2 жыл бұрын
@@alikhidzam3749 you serious? That should be one of the first things you learn in calc 1
You’re a life saver man I love your videos, you explain better than my college professor lol
God is using you man .
@gyroxaver6897
4 жыл бұрын
That's a Factoid
@lillian5353
4 жыл бұрын
For brighter and better things
In 20 mins i have learned more than I ever did from my prof's lectures.
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 💯
@mohamedkhaled1150
2 жыл бұрын
isabelle in auc ?
@y2ksteppa
3 ай бұрын
@@mohamedkhaled1150 i think so
MR. Organic Chemistry Tutor, thank you for an excellent explanation of Limits at Infinity and Horizontal Asymptote in Calculus One/Two.
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
why do we have to multiply the fraction by 1/x😢
I actually dont know how many extra hours I would spend on calc without your videos. Thanks so much. Youre a god.
Keep it up man,you're a huge help
@TheOrganicChemistryTutor
6 жыл бұрын
Thanks
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
4 жыл бұрын
أخيراً في واحد عربي
@m7mdarwani964
4 жыл бұрын
@@garangbol793 في كثير عرب معتمدين على الله ثم على هالشب
Notice that he never asks you to subscribe😂😂😂. Legendary
@user-np7nk3cj3v
Ай бұрын
Coz he knows you'll be watching his videos when exams arrive 😂😂😂
@user-np7nk3cj3v
Ай бұрын
Coz he knows you'll be watching his videos when exams arrive 😂😂😂
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
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.
may i ask on the second to the last problem, why do we need to multiply 1/x on both sides?
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
4 ай бұрын
"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!
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
Жыл бұрын
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
every time when i fell hopeless for math, you came out
I understand Math with you better than my prof. Your voice helps me
@GivenNgomane-ue9uv
3 ай бұрын
ditto, like same
watched your vids for my igcse revision. I'm in college now and I still watch your vids to understand better. Thank you!
The x doubles inside the sqr rt! Omg thank goodness I was so confused thanks!!!!
"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
4 жыл бұрын
thank youuuu I was confused on that
@kofi4927
3 жыл бұрын
bruh i was hella confused about this before i saw this video
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
Very Helpful For My AP Calculus BC class. You're a lifesaver!
Good professor, I wish you to come in Rwanda🇷🇼 C's we love you alot. God bless you.
well articulated and i could go on and work out on the rest of the questions on my own. 🙏
thank you so much, you're saving my calculus grade and i'm actually learning and understanding what to do
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
first calc test tomorrow and I think you'll be the reason I pass :) thank you
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
can i know how to solve the question at @14.35 if the limit is at negative infinity
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?
Ur video's are the best 💯 thank you for helping me 🙏
Thank you so much, the wide range of examples really helped me out!
this is suchhh a good explanation. i needed this step by step explanation
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).
Thank you soo much for putting out these vids! legit I'm so grateful! you literally make me love maths
thank you ,learned a lot in this video and you are a huge help
Best maths teacher Thanks a lot for all the help
Your videos really are a big help to me. Thank You!
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..
i have my test tommorow and you saved my life, thanks
literally SAVED my life.
this tutorial is really helpful to me
what would be a genral equation to write for the definition of vertical and horizontal asymptotes using limits.
THANK U, some other vid just showed dthe tricks on how to figure it out but didn't explain y, thanks man
Your explanation are really clear and understandable. Your videos are really helping me
The answer at 9:20 really helped me out. Thanks a lot!
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.
In 11:51 why are we multiplying by 1/x³ instead of 1/x since this question is bottom heavy? Does anyone know?
King 👑 of maths,, gifted mind
This is the insanely interesting actually.
Amazing video! Cheers!!
Great video, very helpfull
@ 12:54 why did the sign change from - to +?
Thank your so much ,I really struggling to this
Thanks so much, this is so helpful
hi, what is the answer if infinity of a limit of n^2/2^n?
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
4 ай бұрын
same question
Am naming my first born after you 🤌🏾🙌🏾
Kudos to this guy u really save me in my online class frustration
awesome math tutorial .
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.
Thank you so much Mr Julius Gonzalex
do u have limit at infinity with table of values??
thank you so much for this!!!!
u have the most positive effect on this humanity only god knows how to reward u..... class of 2023 appreciates u 🙏🙏🙏
Honestly, Thank you so much!
thank you so much sir
hey at 12:56 why did the square root of 1/x^6 (9x^6 - x^2) turn into square root (9 + ....) which is addition now? where did the addition sign come from??
@johnleandrepermison7175
5 ай бұрын
Same question right here too😂😅
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!
what about when the numerator has a higher degree? I learned in stats that there would be no HA, but in calc its telling me the answer should be infinity and idk why
Thanks a lot 😊😊... Your videos help me a lot in my college 👌👌 Greetings from Egypt 🇪🇬 ✌️
This was so unbelievably helpful thank you
The best freaking video on KZread
I want to ask something ( plz answer i have an exam ☹) ... At 9:39 how can I make sure that the value of X is so big that I can ignore the other values?
Thanks bro..
isn't 9x^2 times 1/x = 9x, not 9? @ 15:54
@edwardgilbert5803
4 жыл бұрын
thats what im confused at aswell
@roudoudou_3596
3 жыл бұрын
Cuz that’s inside a square root, 1/x becomes 1/x^2
@brtjsst
3 жыл бұрын
everything that is placed from outside the square root to the inside got squared
great video!
You are very very good
I would like to ask 15:54 ? why is it like 1/x when the numerator is only 1? Thank you
@ChillExpressions
Жыл бұрын
same here, I'm confused at that part, did u figure it out?
Thank You so much Sir
I wanna ask 12:52, why denominator didn't multiply by 1/X^6? why only numerator ....
@4:00 why are we multiplying the top and the bottom by 1/x”
@champagnestainedbirkin
4 жыл бұрын
x was at the denominator. It was first 4/x then simply 4/1 multiplied by 1/x. In short he separated it. I hope this answer is helpful and sorry I replied 5 months later.
@jcpark1125
4 жыл бұрын
@@champagnestainedbirkin what do you mean "first 4/x then simply 4/1 multiplied by 1/x. In short he separated it. " where did 4/x came from and 4/1?? anyways..whats the purpose of him multiplying (1/x) at the top and bottom?
@sophia_skip15letters
4 жыл бұрын
I think he does it to show WHY the limit of (8/3x+4) is equal to zero. Since he was already explaining why the limit of (1/x) is always zero, he made both the numerator and denominator in terms of (1/x) to prove his point. So you don't need to do it if you already get how and why the limit of the function is equal to zero, but he does it to explain it more thoroughly.
Why go to school when we have KZread
Thank you so much
wish i could write and listen as fast as you man
I have a test in an hour
@razaislamicchannel3518
2 ай бұрын
😂😂😂
9:43 can someone tell me why he crossed out -8 and -5? He didn't go into detail
When you multiplied 1/x with √9x^2 +, is it not suppose to be √9x+
IS IT THE SAMe if x aprroach infinity from the left (-)
THANK YOUU VERY MUCH
11:53 why did we remove the x square pls?
Thanks my techer
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
My savior, year to year
Thank you for uploading this video! It was such a big help.