Uniform Continuity and Compactness

Uniform Continuity and Compactness
In this video, I show a super nice property of uniform continuity: Namely any continuous function on [a,b] is automatically uniformly continuous. This test definitely saves us lots of time, enjoy!
Here is a proof that's valid for general metric spaces: • Compactness
Uniform Continuity: • What is Uniform Contin...
Continuity Playlist: • Limits and Continuity
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[@drpeyam]

Here is a more general proof that's valid on metric spaces: th-cam.com/video/xiWizwjpt8o/w-d-xo.html

[@ativjoshi1049]

Never saw anyone this excited about BWT

[@alexischavoya9092]

Bolzano-Weierstrass really be hitting different this time 4:35

[@drpeyam]

I know, right? 😭😭😭

[@youssefsami5259]

Thanks

[@drpeyam]

Thanks so much for the super thanks :)

[@dgrandlapinblanc]

Thank you very much.

[@adityaekbote8498]

Nice I actually could follow up

[@josemarino8787]

X_(N_K) - 1/N_K

[@Aryan-sz8eo]

Are you from iran??

[@guill3978]

Don't you like number theory? It is fascinating.

[@drpeyam]

I don’t like it at all

[@lincolnliu4811]

really less students

[@drpeyam]

What do you mean?

[@lincolnliu4811]

@@drpeyam look at the views, nobody is on your website...:(

[@drpeyam]

Oh that’s normal, I haven’t published the video yet, just wait a couple of months until I publish it 🙂

[@bloom4598]

uniqueness is on this chanall.....!