What is Calculus - Lesson 2 | Limits | Don't Memorise
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- čas přidán 3. 08. 2024
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📅🆓NEET Rank & College Predictor 2024: infinitylearn.com/neet-rank-p... In Calculus, it's extremely important to understand the concept of Limits. With an interesting example, or a paradox we could say, this video explains how Limits help us understand values that cannot be determined using basic math. Watch this video to get an understanding of the concept of Limits.
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In this video, we will learn:
0:00 Introduction
1:08 understanding Limits
4:13 Zeno’s Dichotomy paradox
8:55 limit process
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The word Calculus comes from Latin meaning "small stone",
Because it is like understanding something by looking at small pieces.
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Well calculus is also called infinestimal calculus. Infinestimal means small
@@caniget600subscriberswitho5 thats the full name, because before, calculus could mean basically any math/calculation, iirc
You are best..!!
Qiiiu
8:16 infinite is not a number so it cannot be added to a number. But how?
We all want more videos on calculus. Dont memorize is the best😁😁
Yes stay tuned. We'll upload many more 🙂
yes bro u r right
WAS IT COMEDY TOO
@@InfinityLearn_NEET But your courses are high amount
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Your videos are amazing. If I'd had these in school my life would have been significantly happier-- and better.
Better late than never 🙂
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The flaw in the logic of Xeno's Paradox comes when one assumes that the remaining distance can always be subdivided, and thus, there are infinite or limitless steps that must be completed. This is not the case, as once the Planck Length is reached, there can be no further divisions, since it is the minimum distance that can exist in the universe.
Wow... Never thought of that.
Definitely!
The example in this video to explain limits is too far fetched to be honest, since the example itself is taking a real life scenerio, but dosen't take the plank distance on the eq., despite it's a real scenerio.
However, I do understand creators' aim, as it is to INTRODUCE calculas to childrens, not explain it. It would take at least 1 and a half hour to conceptualize the whole thing.
Bruh this is entry level to calculus it would be too much to explain more things than the basic, although thanks for your input because I learned something new!
Planks constant assumes know constants such as light speed as max limit to define ultimate length but there can also be speeds faster than light, which we still haven't discovered to be what. But if we take such speeds into account, we are also automatically taking time travel and space time wrapping into account
Yo I wrote the same comment in the previous video (lesson 1)
Beautiful voice
Beautiful animation
Beautiful skill.
Beautiful girl?
🤣
@@vidhanshuborade6408 i thought binod
@@sanjaypaul4869 he wasn't a meme then
This is wrong!!! See the video from 5.02 Problem is people from the so called vedic math don't know how to even copy from standard math. LOL
According to her, time taken for 1/2 m is 1 sec, for 1/4 m 1/2 sec etc. Time is decreasing and distance also decreasing!!!!. and by this logic there is no acceleration!!!!!!
Truth is, for equal time intervals distance will be increasing in odd numbers like if for
1st sec distance covered is S for the
2nd second distance covered will be 3S
3rd second 5S and so on.
So after n seconds distance covered will be S(1+3+5+7....+n) = Sn^2.
"Nora is not confused anymore" I wish to be her, when i hear about different types of infinities my mind just blow.
twin, where have you been?
NOBODY KNOWS ME QUITE LIKE YOU
NOOOOOBODY DONT KNOW ME (i forgot the lyrics)~
I'm still confused about why it could be infinite, and still wondering what the velocity is 😂
Teachers should be like you in every school
For maths hand written notes SUBSCRIBE RUBEL BHATIA MATHEMATICS
No
Yes you are right👍👍
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Yes
I was lost by the end of the first second, or perhaps half way to that point, or perhaps even half way to that point, but I could not stop watching, so interesting and so well illustrated. If only we had these when I was at school. Thanks for making something so engaging.
Thank you so much 😎
😂🤣😭
I'm in 8th grade and want to keep my mind ahead of others. Thank you don't memorise, for clearing my doubts about the subject.
MASSIVE RESPECT FOR THE ANIMATION !!! Apart from subscribing your channel ,what else can we do for you guys?
You can like
@@Unknown_Programmer Thug life
@@Unknown_Programmer lol I was going to comment the same 😂😂😂
You can buy merchandise
u can enroll for their courses
If we got knowledge like this in our school we never forget the concept ever in my life ....this method of teaching really help us
ತುಂಬಾ ಒಳ್ಳೆಯ ಪಾಠ ಬೋಧನೆ , ಎಲ್ಲರೂ ಈ ರೀತಿ ಗಣಿತವನ್ನು ಅರ್ಥ ಮಾಡಿಕೊಂಡರೆ ಗಣಿತ ಮಾತೃಭಾಷೆ ಗಿಂತ ಸುಲುಭ .
ಧನ್ಯವಾದಗಳು don't memorise .
You can also use the formula for an infinite geometric sum series. The equation for this specific series is 1(1/2)^n where n starts at 1 and goes to infinity. You can use A/(1-r) where a = first term and r = rate of change. You get (1/2)/(1/2) = 1. Great video!
“When there's someone to teach those tough concepts in a playful manner , nothing is difficult in life!” Thank you don't memorize for making such helpful videos, me in class 10th and easily understood this 12th standard concept, only and only because of your wonderful videos. No teacher could have done it this good. Thanks again!
Most of the students got graduation but don't know the basics yet, including me, but watching ur videos help understand these basic concepts which should have been taught by school or college teachers
Really appreciate your work, Keep going.
Thank you @Don't memorize
Thanks a lot, Abhishek!
We are pleased to know our videos are helpful to you.
Keep watching! 🙂🙂
Why don't i get puzzled for no reason like Nora 🥺
life is a puzzle itself
Me tooo don't, get puzzled 🥺
because Nora is *smart*
@@Vince-gc6yv smert
Youre busy chasing money and good food
We were often explained how to solve sums on limits ,but very less teachers like u explains why we should learn nd how we shoud we apply it, thank you soo much...
I love your vedio nd how u explain the concept by examples in an interesting way
Being a Science Student, I am so Excited! Please, make them quick! Subscribed! 🔔!
Yes yes. The entire team is working extremely hard to get videos out on time☺
@@InfinityLearn_NEET we are so thankful to your hardwork mam. ALL THE BEST. Your videos are all time best.
This is wrong!!! See the video from 5.02 Problem is people with the so called vedic math don't know how to even copy from standard math. LOL
According to her, time taken for 1/2 m is 1 sec, for 1/4 m 1/2 sec etc. Time is decreasing and distance also decreasing!!!!. and by this logic there is no acceleration!!!!!!
Truth is, for equal time intervals distance will be increasing in odd numbers like if for
1st sec distance covered is S and for the
2nd second distance covered will be 3S
3rd second 5S and so on.
So after n seconds distance covered will be S(1+3+5+7....+n) = Sn^2.
@@progressivethinker4635 🤦♂️
@@progressivethinker4635 bro they took the speed to be CONSTANT. so yes there was no acceleration. And may be u r stupid
My goodness, your ability to teach is insane! you simplify a complex concept into very easy concept that even a small child can understand.
The set of videos explaining the "why" of calculus to subsequent concepts is extremely useful. You have presented with practical examples and simple step by step approach which makes it easy to understand. The visuals add to clarity! Thanks a lot for ur efforts!!
In my opinion the problem is conceptual. What Zeno do is break the OBSERVATION period of the phenomenon (ball's fall) in half progressively.
Then what is infinite is the number of periods to observation, not the phenomenon itself.
The limits is when the time is so close to zero that can't be observed anymore.
And this last and nonobservant moment is when the ball reach the floor.
I like your explanation
Well , that's what limits are used for . Same concept
I am already thinking Calculus is fun because of Don't Memorize. :)
I very much recommend this course. It simplifies Calculus extremely well, while keeping key details in.
Now I am not so confused in Calculus.
Everybody should watch this course and take their time to absorb the information given in these videos.
It is going to be worth it.
😍 I so love this video 👍 Thank You for making videos like this! Hope you will make more Math videos.
I love it when you explain things visually. Keep up the fantastic work
Best videos on calculus in this channel got crystal clarity of many basic concepts , thanks a lot for such a great video.
The infinity here results in an exact number, because every term you add is smaller than the preceding term. That's the trick.
If the successive term is equal to or greater than the the preceding term, then the series results in infinity, no matter by how little the number is increased.
Thanks for making me understand the concept as earlier we were only practising questions and we were able to solve only similar questions without concept☺️☺️
never thought I would be able to understand the concept behind limits. Thanks a lot for this wonderful explanation
Your videos not only tells how to study calculus but also tells that why we study calculus.👍
Amazing videos and so understandable. I always asked myself why would anyone invent calculus but now i know.😊👏
This really helps 11th grade students i reffered my whole gang so they can understand these things easily
This is one of the best youtube channel I have come across. I feel bad for my primary education taught this way. But I am sure my childrens will benefit from this channel for sure. Keep up a good work folks. :)
A big help for engineering students, I've recommended this channel to my classmates especially those who've been left behind, and it helped a lot. Thank you Don't memorize ❤️
Just saw these video's and oh my god this is just too good!! Dont memorise is the best!!
Wow that was the best explanation of a limit I’ve seen so far. Thanks
I think Zeno’s paradox is true when we relate with time dilation. According to time dilation time slows down as you approach to the speed of light . If the ball velocity approaches to speed of light time slows. Time slows means time increase . Time is inversely proportional to speed so speed decrease. As ball approaches to speed of light time stops (according to time dilation) . So ball not approaches to final position .
Isn't this logic too far for mathematics?
I have approached Zeno's Dichotomy Paradox like this:
Ball will never reach the ground as it suggests. And it assumes that every length can be divided. But when we reach to the atomic level, we don't really touch anything as there is always gap between atoms. So on reaching that point, there's no further attraction between ball and the ground.
It’s weird thinking about the way there could be and infinite amount of numbers between 1 and 2 but it cannot get any higher than 2 or lower than one
Thnx v nice. Daily life meaning of these concepts have been explained. That's really important.
Teacher should be like u in every school,because u teach in such a manner that even who cannot understand English can understand........Keep it up......
And I say this to every subscribers of this channel please support "DON'T MEMORISE" channel....plz......💖
Ur out of box analysis is what makes me amazed.
Thank you very much.
Thank you 😄😄
These videos are way more entertaining than web series because of advance,beautiful and smooth animation
Good job 👌👌👌 guys.
Thank you so much Om for your appreciation. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. For more videos, please visit our website - dontmemorise.com/
Eagerly waiting for next videos on calculus.
So easy and wonderful explanations.
Thanks
I get good understanding through your teaching . God bless you
Your teaching methods is excellent I love it
This method of teaching really implement in our school nd institution ...
You are really a need for todays education system...🙏🙏 Respect
Bestest teacher for calculus ! I'll watch every ad without skipping it so they earn! Hats off!
Thank you so much for your appreciation. We are glad that you understood the concept. For more videos, please visit our website - dontmemorise.com/
Amazing! .. wish i could only have learned through CZcams since I was a child I could have saved a lot of wasted time not understanding .. great work!!
Thank you so much 😁
Thankyou very much. I still can't believe that what I learned in my college could have been this better and lovely...
Glad you liked it, Vivek!
Please subscribe to our channel: bit.ly/DontMemoriseCZcams
Happy Learning :)
This is wrong!!! See the video from 5.02 Problem is people with the so called vedic math don't know how to even copy from standard math. LOL
According to her, time taken for 1/2 m is 1 sec, for 1/4 m 1/2 sec etc. Time is decreasing and distance also decreasing!!!!. and by this logic there is no acceleration!!!!!!
Truth is, for equal time intervals distance will be increasing in odd numbers like if for
1st sec distance covered is S and for the
2nd second distance covered will be 3S
3rd second 5S and so on.
So after n seconds distance covered will be S(1+3+5+7....+n) = Sn^2.
This is really interesting and engaging, now I'll go from a below avarage american high school student into something phenomenal
Fantastic. Fantastic. You are putting so much energy and time. And wonderful animations keep the viewers attention focused. Thanks for the great thankless job you are doing Madame.
We're humbled to hear that! Thank you :)
@@InfinityLearn_NEET thankyou don't memorise 😊
Now my concept of Zeno's dichotomy paradox is crystal clear
Thank you so much
You are most welcome, Jagdish! We are glad to know your concept is clear. Keep watching and learning 🙂🙂
So amazingly explained! 👏 You should take all the chapters of physics of 11th grade in Don't Memorise. 😄
The series is just amazing.
Give us more series on mathematics plz.
Thank you very much for starting calculus.....
Ur videos are changing the way we look at science.
Video is very nice that I am able to learn it easily .It is explained with good examples..👍🏻
This visualisation method really helps us ..plz make more videos of other topics ...nd thnks a lot for ur initiative ...Great job u have done for us ...
Outstanding clarity in the video lecture.
ThanX a lot for this job...
For a moment I lost the session and thinks about your effort and coordination behind your video Impressive
I love your vids even if you think I'm too young for understanding . I'm still gonna watch it. Because I want to know more.
This video is amazing 👌I understand the concept very nicely
There are no limits in life
Real life: no u
Albert Einstein come back and waiting CZcams😁😂
There are obviously limit in our life and that limit is tense to infinity!
Ever gonna do your speech in Israel yet?
snakespider shhh 🤫 I’m dead
@@alberteinstein6040 oh, sorry! 😉
Amazing video...very well explained...thank you for making videos on calculus.
Just an amazing lovely video ideas helping students to visualise and gain interest in studying thing
I finally understood the concept of limit! I should have understood that three years ago. Thanks you so so much ma’am.
Glad it helped 😁
This is wrong!!! See the video from 5.02 Problem is people from the so called vedic math don't know how to even copy from standard math. LOL
According to her, time taken for 1/2 m is 1 sec, for 1/4 m 1/2 sec etc. Time is decreasing and distance also decreasing!!!!. and by this logic there is no acceleration!!!!!!
Truth is, for equal time intervals distance will be increasing in odd numbers like if for
1st sec distance covered is S and for the
2nd second distance covered will be 3S
3rd second 5S and so on.
So after n seconds distance covered will be S(1+3+5+7....+n) = Sn^2.
@@progressivethinker4635 I don’t get what you’re saying but she said that it was for an example
@@Ohmagat69420 he is basically saying he wants to go offtopic
NOW I AM REALIZING CALCULUS IS HOW MUCH INTRESTING THANKU DEAR FOR MAKING IT EASIER FOR US THANKU SO MUCH
I SUBSCRIBED
LIKED ALL VIDEOS
AND SHARE IT WITH MY FRIENDS
MAY YOU PLEASE TELL ME IN WHICH SOFTWARE YOU MADE THIS VIDEO
How can i say thanks, for such a grate work, god level explanation, god bless for doesn't memorise team
What an explanation!!!! Great work..
the sum of the infinite series is (a/1-r) where a is the first term of G.P and r is the common factor,if r1 then formula will be (a/r-1)
I was just waiting for her to say about geometric prog
Had Good Impact in me for better understanding Calculus.. Thanks
You are most welcome, Naveen.We are glad to we helped you understand the subject better😊 I have a suggestion for you. Could you please share your story of how Don't Memorise has helped you here: dontmemorise.com/share-your-story/ This could help many other students read your story, and you also have a chance to be featured on our website.
amazing calculus is great for learning i will subscribe.
In Reality the dichotomy paradox is TRUE.
The Ball actually never reaches the floor, It appears to be touching the floor but, It's Floating as the electrons Repel each other...
nope, in your logic, nothing touches each other then even nora didn't touch the ball in that case
@@omniyambot9876 I think Nora Just Over thinks...😂
No brother, maybe the gravitational force overcomes the repulsive force and hence would reach the floor
@@26_rishikesha.s_c23 okay, I suggest you read more
Conclusion: Nora has downsyndrome
Wow, what a great teaching
I can't believe how perfect thia video is! AMAZING WORKK :)
love this Man,#DONT MEMORIZE is the best.Plz upload more videos on these concepts.
Beautiful explanation ❤️
Coming across this channel probably be the best thing happened to me...
Very well explained!!
love your explanations
Your teaching way is very good u deserve 10 million subscribtions all teachers should teach like u very very thank u
Thanks a million for your appreciation. We love our Pi Army and would like to stay connected. You motivate us 😊😊
This Is wonderful.... Thanks... looking forward for the next video
This is wrong!!! See the video from 5.02 Problem is people with the so called vedic math don't know how to even copy from standard math. LOL
According to her, time taken for 1/2 m is 1 sec, for 1/4 m 1/2 sec etc. Time is decreasing and distance also decreasing!!!!. and by this logic there is no acceleration!!!!!!
Truth is, for equal time intervals distance will be increasing in odd numbers like if for
1st sec distance covered is S and for the
2nd second distance covered will be 3S
3rd second 5S and so on.
So after n seconds distance covered will be S(1+3+5+7....+n) = Sn^2.
Thank you for your videos. It helped me learn calculus. Thank you very much. I'm subscribed
Great video! Thank you!
I have been waiting for it for a long time
Thank you 💕
Keep doing👍
There are really some great minds behind this videos who know how children understand the concepts. Hats off to them 🫡😊
I m fan of every lecture of this channel...prode to be a subscriber.... pin point accurate lecture...
Nobody:
Gravity: just 0.5m/s ? Am i a joke to you?
Excellent video guys , loved it ! Best thing that I like about these videos is the Examples . They are just awesome.
if we take a ball mass (m) and gravity (g) and height (h) then speed at point B (velocity at point B) =mgh as the distance change velocity and its come direct relation between speed as we calculate time
This channel needs billion subscribers
So it's like when a function approaches or gets closer to some number? Thank you for your information😄
Great job
Examples are super to understand calculus.
Thank you, Mallikarujun! We are glad you liked it 😊
Everything about this channel is so awesome. I really appreciate your efforts.... Thank you so much for this amazing content...😀😀😀
It's my pleasure Subhi and Thanks for your appreciation. We are glad that you understood the concept. We are happy that we could help you learn. Do support us by subscribing to our channel. 👍👍
Already subscribed!! 🥰🥰🥰 Keep up the good work....
very intresting video
Thank you so much Dont memories Team , please keep making our world a simple place , again Thank you so much
It's my pleasure. We are glad that you understood the concept. We will try our best to make more video content. In the meanwhile, you can check our entire library of content on dontmemorise.com/
Yes sir I already watching yor vedio tutorials , you are doing a grate job sir , thanks for all sir
It's a really good video. The only challenge is that it claims it explained Zeno's paradox, whereas it did not. Calculus, in its rudimentary form, assumes motion is real, and then explains and interprets it. On the other hand, Zeno questions the premise and very existence of motion.
@flurng's comment below points out a fundamental flaw in Zeno's argument (that space and time could be infinitesimally small), a sound one nonetheless given the time period when he asked the question, and one which sort of instigated us to question our sense of reality in some sense. Even today, at best, we have a vague understanding of motion.
The current video surely but merely explained that an infinite no of steps do not necessarily add to infinity. While I appreciate that it's to explain the basics of calculus in a simple manner, I am not convinced we should shut the door to further curiosity by stating it solved something it did not. After all, curiosity is what keeps moving us forward, and helps us discover new things.
Nice! Good stuff
Your videos are amazing