I wanna thank you for this extremely helpful video, but I'd rather compliment you. This material is extremely difficult to just understand. To teach it and have thousands of viewers understand shows how intelligent you really are. Good for you dude, I hope I can reach your level one day.
@@andrewlones8251 It takes time/effort to translate from the symbols to a concept, and even more time to translate to plain English. It's not that difficult to comprehend *IFF* the symbol -> concept map is already in place. Your statement is like saying "I can read Cyrillic, and I understood this poem written in Cyrillic that I found online. It's really not that difficult to comprehend." Not everyone can read math symbology fluently.
@@NathanCookCapn Ikr, little assholes lol I'm 25 years old and going in my 4th year of college and just learning this for the first time, and it's complicated lol For me and my classmates lol Idk what books they give these children...lol but they need to give me these books because we have hard ones.
@@kagayakuangel5828 I am also in fourth year of college and understood this concept only after watching this video eventhough I have listened to 3 hrs lecture on this same concept of my Professor before.I bet they are just showing off
I appreciate the explanation! This video gives a great introductory conceptual understanding of Cauchy sequences and is a fantastic spot to start learning!
of all the videos of fancy math teachers using fancy effects, your 360p single cam over paper is consistently the best explained. i went over 5 much higher quality videos of (i would assume) much more experienced teachers before yours, and not a single one of them bothered to show a visual representation of the definition. which you've done not once but in several different examples. good on you man, thanks!
i don't know GOD exists or not but after watching your lectures i can definnately say that GOD exists and you are GOD for me.Your explanation and efforts are speechless.And you are doing it free of cost.
This is a brill explanantion... but then using your numbers as in video; I put in the (1/500) - (1/550) = 1.818E-04, which is still less than 0.001562... I was expecting this to be greater than epsilon ...?? Does this work? I've seen on other pages that it must be N > (2/epsilon)? But following that gives N=1281, and then that didnt work for me either ... am I losing the plot?
im a bit confused, in the defn. we said m and n must be bigger than N and these are reel numbers right? But in the example we take the distance between 0 and 1/N but in that case (for the 0 case) m or n, one of them must infinity since there is no reel number that makes the sequence 1/n 0 right?? can anyone explain? Thanks!!
Pick any number (noted, the greek letter epsilon), the bigger it gets, the smaller it's distance between points is going to be. compare it to the initial point and you would notice exactly what i said earlier.
