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

Описание: 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 👍👍😊

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Proove that a function if continous from Cauchy definition of continuity then it is also continous from heine's definition of continuity and conversly
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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 👍

   • Плейлист  

Link to complete playlist for two variable 👍👇

   • Плейлист  


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

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