Lipschitz Functions and Uniform Continuity

We define what it means for a function to be Lipschitz and prove that Lipschitz functions are uniformly continuous.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis

[@TranquilSeaOfMath]

Nice lemma and proof for Lipschitz implies uniformly continuous.

[@mikethemathematician]

@TranquilSeaOfMath This is one of my favorite results. It leads us to think about the modulus of continuity of a function!

[@armanavagyan1876]

Thanks PROF 👍

[@mikethemathematician]

@armanavagyan1876 you bet!!!

[@dylandiaas]

Really great video, just the pen noises on the board were a bit annoying ahah

[@floriangrimm6857]

How is the writing effect archived? did you actually learn to write in mirror or is it animated ?
it looks real but also too smooth.

[@mikethemathematician]

@floriangrimm6857 The camera mirrors my image! Thanks for watching!