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
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.
ooooh wow i had difficulties at this concept but now i have understood and now im academic weapon at this concept🥰😀😀. ok so what if 1. the limit is negative? 2. as x approaches positive infinity? 3. as x approaches negative infinity? or else if you have already uploaded videos concerning these concepts you may just refer me to those videos, your response is my pleasure, thanks in advance🙏🙏🙏
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 😊
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 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.
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!
