Calculus - The limit of a function
HTML-код
- Опубликовано: 26 авг 2017
- This video covers the limit of a function. The focus is on the behavior of a function and what it is approaching. Remember this is not the same as where the function actually ends up. Watch for an example of this.
Did you find this video helpful and want to find even more? See all of the subjects available and stay up to date with the newest videos at: www.MySecretMathTutor.com
This video is related to many other topics. Check them out.
The limit of a function basis: • Calculus - The limit o...
Estimate a limit using a calculator: • Calculus - Estimate a ...
The laws of limits: • Calculus - The laws of...
You can make MySecretMathTutor even better by contributing community subtitles.
ruclips.net/user/timedtext_cs_p...
Finally someone that explains this clearly and concise. Not even Khan Academy does it this way.
True...
@Jaxon Harvey did it work
True, I just watched khan academy & came here! Now it's better!
post hoc; you understand it MORE cause you were primed before
I am a high school math teacher who is teaching from home due to school closings. This video is the perfect introduction to limits for my students. It is concise, professional, and will help them to understand the concept of approaching, not reaching. Thank you.
Hi Michele, I'm a teacher too, so I'm glad I can help out a colleague. Hang in there and stay safe! :^D
I was able to get As in cal 1,2, and 3 without truly thinking about what a limit was. We need more teachers like you who prioritize the concept and understanding
I just had a 2 hour class about this and these 5 mins are what explained it to me. Wow
OH MAN THANKS A LOT! I have been using limits for a while now and I didn't get what exactly they are until I watched this video. Thanks, everything that I have learned with limits makes so much sense now.
Finally, a video that actually facilitates understanding of the concept. Thank you!
Thank you so much. You explained this far better than my Professor ever could.
You're a GOAT in learning concepts to others
Amazing example. I've never been able to have it explained to me like this before. This is what teaching is about!
Thanks!Explained very clearly,great for learning the basics!
One can recommend to first see this *WONDERFUL VIDEO* before watching other normal stuffs for their syllabus
This has to be the best explanation for limits on the net. Excellent series of videos!!
U did a good job by answering why we cant plug 2 directly in the function. Something that I didn't see in many other videos I watched about limits.
Wow. The explanation is absolutely amazing. This is beautiful
finally someone explained the limit so clearly
thank you man keep the good working
Schrodinger's pizza
Schrodinger's fridge actually
Schrodinger's reply
Schrodinger’s pizza: The pizza tastes both good and bad but decides which it is upon tasting it
@@deathbolikusjo4325 👍
Schrodingers mom
His mom feels both good and bad until determined upon screwing her
thank you very much this is the only video on RUclips that gave me the simplest idea of Limits, i will suggest this video for my friends also. thank you very much!❤❤
These are so precise and non-calc student friendly! Thank you very much!
Thank you so much for explaining calculus concepts in such a innovative and clear way - I am helping my son with some calculus work and had to do a refresher myself (since the last time I used this properly was about 20 yrs ago! :-))
Thanks for making this video. It really helped me.
Thank you so much for your great explination, it made the topic of limits very clear.
Great video, very helpful.
4 years later and this still saving college students, you are highly appreciated sir!
Wow. This is beautifully explained. Well done!
Thanks.This video is explicit and enjoyable watching
Best video on limits I've found so far. Thank you so much! I'll be suggesting this to my friends! :D
Thanks! That means a lot to me. :^D
Quirky AND informative. Well done for explaining the concept not just the method. Thank you :).
Wishing I discover you sooner. Would have made a lot of difference when I was taking Calculus 1. Nonetheless, this is amazing. You summed it up perfectly!
Thanks for the illustration. Kudos!
Thank You Sir .You helped me to clear my doubts
Amazing video. Just got introduced to this because I was sick and was behind in class, but I understand it!
This was a good explanation !
thanks for this bro,it reallly helps a lot. whish you make more of the animation
Very nicely explained with the analogy.
this 4 mins video teaches me so much than my teacher in class
wonderful I realy undrestand the notion of the limits by watching your video .
that's an excellent explanation. thanks.
Every time I want to refresh my memory on limits, this is where I _always_ head (and I actually reach it😂)
This was a great, informative video
I am studying in the data science field and this helps me tremendously!!
many thanks ... you helped me a lot
extremely well done video. I was surprised when there's only 5k likes, should be 500k
Thanks for the video! It helped me get this better :)
Mathematics is a key of the door that it helps you arrive to depths of space and it can be possible with only imagination and simulation.Thank you for myself , cartoons are not only children but also for every ages because of that richness of posibility like parallel universe.KEEP GOING !! :)
great video to understand limits
YES! after watching more than 10 vids, I finally understand what is a limit. this is the perfect introduction to limits. I hate how the textbook defines this lesson. It's like they just wrote how the formula is read without making the students understand what it actually is. YOUR EXPLANATION IS REALLY A BLESSING TO US STUDENTS.
Thanks! :^D
thanks for the vid bro you made it interesting
waooow....best so far ...great job
very good explanation
Really helpful!
dude this saved me, 80 minute class and khan academy still had me stumped. Thank you
This was very helpful for me
Very nice explanation👏👏👍
Thank u, I understand what a limit is
Thanks!!
THANK YOU SO MUCH
Great Thanks 😀👍
you are saving me in my calc 1 class
I don't know why people are complicating things, you made me understand thanks.
nice lecture
You’re awesome, thank you for exposing it to me
Explaining*
Thank you! :)
Great!
Wow
This is awesome..👍👍
Nice video
Great video - my only wish is that when selecting numbers approaching 2 you showed that it has to approach that from both sides (ie select 1.9, 1.99, 1.999 and 2.1, 2.01, 2.001)
Great ❤️
Awesome
Thank you very much 😄😊😇😁
Beautiful
Hey thanks have a great life master.
Thanks
Please give me the exact next video link.
thanks
Doing advanced calc now ... never truly understood what was happening till now 😂😂... thank you 🙏🏼
It hapens..😄
Animation great explanation hellllp
Can my lim approach a number like .8 ? I was giving the function (x^2-4)/(x^2+x-6) and my two sets of numbers set1{1.9,1.99,1.999,1.9999}, set2{2.1, 2.01, 2.001, 2.0001}
This guy is good
OMG THANK YOU SO MUCH. I have been struggling in class because i couldnt figure out a way to describe what a limit it is. Now it makes way more sense
The only issue that I see is the lack of explanation or description of each variable inside the equation.
May have missed something and please correct me if I’m wrong, but after factorising the final function you end up with x+2 which when plugging in the x value of 2 does in fact get the y coordinate of 4. Are you allowed to factorise or have I done something illegal??
Guy Caldwell You’re doing it wrong. You simply just sub in 2 for x
Hi can you give me 2 objects that represents a limit of a function and explain how?
Great
I've been on a superdupercrazymega diet since 12/26/20. It's 4/12/21. I haven't had a single pasta dish, sandwich, hamburger, or anything outside of chicken, brussel sprouts, or broccoli in almost 4 months. I now crave pizza.
(x^2-4) / (x-2) is the same thing as x+2 right? So it does reach 4?
These are not quite the same things, but they are close! You might ask, "What makes them different?"
They are different because (x^2-4) / (x-2) can not use an input of x=2, since this would cause us to divide by zero.
x+2 however can take an input of x=2. This is the only place where these two functions are different.
With this in mind (x^2-4) / (x-2) will never reach a value of 4, but it can get as close as you would like. This is really the key with limits. We don't really care what value it reaches, only what it is approaching. And in this instance it will approach a value of 4 as x approaches a value of 2.
Since we are using values that are not equal to 2, we can essentially use x + 2 to take care of the work. Since the two functions have the save values everywhere else.
Let me know if that helps out. :^D
but you can replace "x^2-4/x-2" with "x-2" using simple factorization, then you can plug in 2 and it will give you 4, then when it gives you 0 that means you can factorize the equation more, right?
Some equations can be factored, but in the canceling process we are replacing it with a similar function. This new function has essentially the same behavior, but with the advantage of no "gaps."
Unfortunately this cannot be done for all cases. For example you can find the limit of sin(x)/x as x goes to 0,
it turns out that this limit is equal to 1. You can not arrive at this answer through factoring.
MySecretMathTutor ohh thanks, but how can you know when can you use factorization?
Dear @Mysecretmathtutor, I love this video and would like to record my dutch voice over the video for my dutch students. Is it oké as i use your video, record my voice and share it with credits to you as animator of this video?
Go ahead! (As long as you credit the original) Please send me the link when you are done.
Many of my animated videos can easily be dubbed into other languages. I think this is so neat! :^D
Can you please tell me which app/software you used to create this video presentation ?
Thank you :)
This uses PowToons. You can find that on at their website. Happy animating. :^D
What would be the difference between an asymptote and a limit , then? I'm struggling with understanding that
Both tell you something about the behavior of a function. Asymptotes usually tell us about a behavior involving infinity.
For example, if my x approaches a number, but the function approaches infinity (gets arbitrarily large) we have an vertical asymptote. We could also have x approach infinity and the function approach a constant. This is a horizontal asymptote.
When we use limits, we can include these behaviors as well, but we can also describe more situations such as when x approaches a value, the function approaches a constant. In this way limits can describe the behavior between inputs and outputs of a function a bit better. (Note we must be willing to use infinity as the value of a limit, even though we technically we might say the limit does not exist, or diverges.)
In summary, you want to describe what the function is doing. Limits a great tools for this, and don’t always need to involve infinity.
U get a subscriber sir.
Thanks! :^D
Legendary
How did you find 9.83 etc. How
Just make sure that the value you are approaching is the same from the left and the right, if they aren’t the limit doesn’t exist. (Exceptions to adding, subtracting, multiplying, and dividing limits)
How would you connect limits to derivatives? In pizza analogy
I'm kinda confused on the second example.. is x^2-4/x-2 = 0/0 which is undefined then why is the answer 4 when it never reaches four? Like where did 4 come from?
Remember with limits we are focusing on the behavior. The function is approaching 4. (It actually doesn't matter if it reaches the value or not) :^D
How did he use the numbers 1.9, 1.99 and 1,999?
These are just numbers that I choose that were close to 2. This gives us a good sense of whats happening as we closer and closer to the value of x = 2.
Hey one quick question why are you using the plug ins 1.9 1.99 1.999 can you please explain I would want to use 1 2 3
Because I want to get closer to the value of 2. :^D
Why didn't I watch this while I was in high school
Where did f(X) = 3X² - 1 come from? Why was that used? The single biggest hurdle to understanding mathematics is the random formulas used without explanation in my opinion.
It's just a random function to highlight what you do when a random function comes up. The point is that it can be any function
Essentially, it’s like finding a petty loophole to a clause in a contract. The contract being “x number” because it’ll result in an undefined number, so you go “okay, I’ll just plug in the closest number to the last decimal place I can think of. How about that, jerk?”
Exactly! :^D