Real analysis bsc 3rd yr | Heine's definition of continuity 📝

Real analysis bsc 3rd yr | Heine's definition of continuity | equivalence of Cauchy and heine's definition of continuity | Proof of theorem 2.1 📝📝👍👍 In this video you will get a detailed explanation about continuity and it's heine's definition of continuity of we can say sequential continuity and equivalence if Cauchy and heine's definition of continuity. After understanding the definition we will proove a theorem 2.1 which says the equivalence of Cauchy and heine's that if a function is continous by Cauchy definition then it is also continous by heine's definition and conversly. After the proof if theorem you will get short notes to revise the theorem in exams and remember it in a better way 👍👍😊 Your queries Real analysis bsc 3rd yr maths bsc 3rd yr maths best playlist for real analysis complete playlist for limit of one variable complete playlist for limit of two variable continuity Cauchy definition of continuity epsilon Delta definition of continuity continuity from left and right discontinuity and it's types heine's definition of continuity sequential continuity equivalence of Cauchy and heine's definition of continuity Proove that a function if continous from Cauchy definition of continuity then it is also continous from heine's definition of continuity and conversly theorem 2.1 continuity bsc 3rd yr proof of theorem 2.1 continuity real analysis bsc 3rd yr steps to remember theorem 2.1 Important links to the previous lectures 👍👍 Important links : 👍👍👍 link to continuity lecture 1    • Real analysis bsc 3rd yr | Epsilon delta d...   link to continuity lecture 2    • Real analysis bsc 3rd yr | Discontinuity a...   Link to epsilon-delta defination of limit 👇    • Real Analysis Bsc 3rd yr | Epsilon-delta d...   Link to basic terms 👇👍    • Real Analysis bsc 3rd yr  | Bounded Functi...   link to Lhl and rhl of a function 👇👍    • Real analysis bsc 3rd yr | LHL and RHL wit...   Link to greatest integer function 👇👍    • Real analysis bsc 3rd yr | Greatest intege...   Link to complete playlist for one variable 👍    • Playlist   Link to complete playlist for two variable 👍👇    • Playlist   Time duration 00:00 introduction 00:41 Heine's definition of continuity 08:18 Equivalence of Cauchy and heine's definition 10:32 Proof of theorem 2.1 21:27 Short notes to remember theorem 2.1 Thanks for watching subscribe for more updates 👍😊