I think this is the first time I've seen someone prove a function ISN'T continuous with delta-epsilon. Cool! The way I think of delta-epsilon is, suppose you're trying to prove the limit at the point (a, L). So, I imagine a rectangle centered at (a, L), that is narrow and tall enough that the function never hits the top or bottom edges of the rectangle. Can I create such a rectangle? And, can I shrink that rectangle down to zero width and zero height, and the function never hits the top or bottom edges at any scale? The arithmetic of delta-epsilon is about starting with |f(x) - f(a)| and finding some way to make a standalone term of |x-a| to pop out. Once you've done that, get rid of any other "x" terms by replacing them with the value that makes the whole expression as large as possible.
Thank u for making it easy to understand proof of infinite limit. I enjoyed learning the concept from u. Keep making difficult concepts understandable and enjoyable. Keep turning your viewers into future Mathematics educators like u. Learning something new is real motivation in life, keeps me fired up. One of the things I like about your teaching method is u draw the graph snd real number line and that gives a visual picture and picture speaks thousand words. Also, u clarify inequalities. U explain every step of the way from start to end. Best wishes
Our lovable teacher we wanna thank you for your interesting way of teaching. We have been learning so many things from you since we saw and joined your class. Never give . See you one day. from Ethiopia
thank you so much for explaining this subject! My calculus book wasn't quite good at explaining it, but your video taught me clearly how to do it :D I also love how happy you are while doing mathematics, its infectious!
Wow you are really cool in teaching I just found you and I wished I could found you earlier Thank you so much for this clueless I hope I can help u by like 😊
I think you should spend some time on your favorite calculus textbook, because even though i like your style, this is the second time i caught you explaining the epsilon delta definition, wich is a bit hard per se, and got it completely wrong. The most important words in this definition are that For All epsilon greater than zero, There Exists a delta value Such That…. When you say for all epsilon AND delta greater than zero you‘re literally destroying the essence of limits.
I understand your frustration with me. Sometimes, in trying to make things basic, I catch myself deviating from strict definitions. I am looking at the videos again. By the way, thanks for the feedback.
There are some people gifted with real teaching abilities. They are rare, and this man is one of them.
exept that he fails to provide correct information on basic calculus topics
@@tomtomspacan you refer me to the video in which he has not provided correct information on a basic calculus topic?
@@muhammadhussainsarhandi9928 Pretty much every video about the definition of limits
Couldn't agree more!
Thank you for this video. Fantastic teaching, well explained, well delivered. I will check this channel often now on.
those who stop learning have stopped living😎🥶 chills went down my spine sir well said, very well said
I love your calm and relaxing voice. So warm and relaxing and it makes the math so much more understandable. Fantastic presentation!
Great work Mr Newton .keep on uploading ,we don't want to stop learning
I think this is the first time I've seen someone prove a function ISN'T continuous with delta-epsilon. Cool!
The way I think of delta-epsilon is, suppose you're trying to prove the limit at the point (a, L). So, I imagine a rectangle centered at (a, L), that is narrow and tall enough that the function never hits the top or bottom edges of the rectangle. Can I create such a rectangle? And, can I shrink that rectangle down to zero width and zero height, and the function never hits the top or bottom edges at any scale?
The arithmetic of delta-epsilon is about starting with |f(x) - f(a)| and finding some way to make a standalone term of |x-a| to pop out. Once you've done that, get rid of any other "x" terms by replacing them with the value that makes the whole expression as large as possible.
Thank u for making it easy to understand proof of infinite limit.
I enjoyed learning the concept from u. Keep making difficult concepts understandable and enjoyable.
Keep turning your viewers into future Mathematics educators like u.
Learning something new is real motivation in life, keeps me fired up.
One of the things I like about your teaching method is u draw the graph snd real number line and that gives a visual picture and picture speaks thousand words.
Also, u clarify inequalities.
U explain every step of the way from start to end.
Best wishes
you are amazing, I miss having teachers as passionate as you are.
I already know this stuff but this is sooooo well-explained
Hello
you are a blessed, wonderful and just the best. continue the great job
This is a great teacher i have ever seen. Takes love from Bangladesh❤❤❤
Thanks a ton sir, I was looking for this for a long time but didn't find it anywhere.
Holy the most well explained guy I've come across man. THank you so much I needed this
Glad it helped!
As with all your videos, the drama makes your teaching technique memorable!
Glad you think so!
As always extremely helpful videos.
Our lovable teacher we wanna thank you for your interesting way of teaching. We have been learning so many things from you since we saw and joined your class. Never give . See you one day. from Ethiopia
I'm am also from 🇪🇹. I always struggle proofing limit. Now it's much easier.
I love you man you made the lesson so much fun
thanks for this lovely explanation
this answered my question thank you
That's super cool!!! thank you so much. The way you explained it was so easy to follow and understand
You're very welcome!
Amazing!
Well done!
I love your Videos!
Thank you💯your amazing.
This was brilliant
❤❤❤❤❤ thank you
thank you very much, we are in desperate demand of more teachers like you
he doesn’t even know the epsilon delta definition. It‘s the second video in wich he proves his lack of understanding of the basics of calculus.
Well explained ❤
thank you so much for explaining this subject! My calculus book wasn't quite good at explaining it, but your video taught me clearly how to do it :D
I also love how happy you are while doing mathematics, its infectious!
Glad it helped!
Thank you!
Wow,the music is chilling
Great video
Thank you for this, I've never enjoyed math more!
You are so welcome!
Thank you.
Great! Thanks!
Honestly a thank you isn't enough 👏
Wow you are really cool in teaching
I just found you and I wished I could found you earlier
Thank you so much for this clueless I hope I can help u by like 😊
You're very welcome!
thanks .. that was pefect
thank you!!!
Awesome, thanks
good explain
thanks
nice and neat
Thx
I love you
Sir from where you are
The math GOAT
what is M is = or less than 0, wouldn't this proof be broken then?
(i know that these values of M not possible with 1/x^2, but is that a reasomable assumption to make when proof writing?)
lim x->0 1/1×10^-inf 1x10^inf=inf
8:09 when i figured out the solution to a hard problem:
If you set x=1/n you need no delta-epsilon proof.
I think you should spend some time on your favorite calculus textbook, because even though i like your style, this is the second time i caught you explaining the epsilon delta definition, wich is a bit hard per se, and got it completely wrong. The most important words in this definition are that For All epsilon greater than zero, There Exists a delta value Such That…. When you say for all epsilon AND delta greater than zero you‘re literally destroying the essence of limits.
I understand your frustration with me. Sometimes, in trying to make things basic, I catch myself deviating from strict definitions. I am looking at the videos again. By the way, thanks for the feedback.