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.
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
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.
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!❤❤
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.
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! :-))
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!
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 - 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)
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.
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.
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)
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
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??
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}
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
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.
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?
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?”
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.
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
@@lapatria100 Exactly. Different interpretations or explanations makes you connect the dots easier.
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
Same here tbh lol it’s crazy
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.
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.
Finally, a video that actually facilitates understanding of the concept. Thank you!
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!❤❤
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
This has to be the best explanation for limits on the net. Excellent series of videos!!
Amazing example. I've never been able to have it explained to me like this before. This is what teaching is about!
Thank you so much. You explained this far better than my Professor ever could.
You're a GOAT in learning concepts to others
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
One can recommend to first see this *WONDERFUL VIDEO* before watching other normal stuffs for their syllabus
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
finally someone explained the limit so clearly
thank you man keep the good working
Amazing video. Just got introduced to this because I was sick and was behind in class, but I understand it!
Wow. The explanation is absolutely amazing. This is beautiful
dude this saved me, 80 minute class and khan academy still had me stumped. Thank you
wonderful I realy undrestand the notion of the limits by watching your video .
4 years later and this still saving college students, you are highly appreciated sir!
I don't know why people are complicating things, you made me understand thanks.
this 4 mins video teaches me so much than my teacher in class
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! :-))
This was a good explanation !
Quirky AND informative. Well done for explaining the concept not just the method. Thank you :).
Thanks!Explained very clearly,great for learning the basics!
These are so precise and non-calc student friendly! Thank you very much!
Awesome and witty explanation ❤ thank you
extremely well done video. I was surprised when there's only 5k likes, should be 500k
I am studying in the data science field and this helps me tremendously!!
Thank you so much for your great explination, it made the topic of limits very clear.
Wow. This is beautifully explained. Well done!
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!
Great video, very helpful.
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
great video to understand limits
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 !! :)
Thanks for making this video. It really helped me.
thanks for this bro,it reallly helps a lot. whish you make more of the animation
Thanks for the illustration. Kudos!
Thank You Sir .You helped me to clear my doubts
Very nicely explained with the analogy.
Thanks.This video is explicit and enjoyable watching
Every time I want to refresh my memory on limits, this is where I _always_ head (and I actually reach it😂)
very good explanation
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)
you are saving me in my calc 1 class
Jesus what a good example ❤
Thanks for the video! It helped me get this better :)
that's an excellent explanation. thanks.
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.
You’re awesome, thank you for exposing it to me
Explaining*
waooow....best so far ...great job
This was a great, informative video
Very nice explanation👏👏👍
Thank u, I understand what a limit is
Doing advanced calc now ... never truly understood what was happening till now 😂😂... thank you 🙏🏼
It hapens..😄
Really helpful!
many thanks ... you helped me a lot
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?
thanks for the vid bro you made it interesting
This was very helpful for me
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)
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
Does It mean that the limit gives an approximation and not an exact solution?
Great Thanks 😀👍
Please give me the exact next video link.
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
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}
Nice video
The only issue that I see is the lack of explanation or description of each variable inside the equation.
Wow
This is awesome..👍👍
THANK YOU SO MUCH
Thank you very much 😄😊😇😁
Thanks!!
Beautiful
(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
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
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
nice lecture
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
L’hopitals rule then
Thank you! :)
How would you connect limits to derivatives? In pizza analogy
This guy is good
Hi can you give me 2 objects that represents a limit of a function and explain how?
U get a subscriber sir.
Thanks! :^D
U save my day I feel like I don’t even go to college what is the point of going to boring class that u don’t even understand shit 😂
Thanks
Hey thanks have a great life master.
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
Can't you factories the numerator in the last example?
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
How did you find 9.83 etc. How
Great!
Who knew that it’ll take a video I watch while pooping to understand limits
Great ❤️
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.
Animation great explanation hellllp