Proving Limits DNE

https://www.youtube.com/watch?v=VOEzUbNTCSk

Using Limits DNE Definition

https://www.youtube.com/watch?v=VOEzUbNTCSk

1. Use the definition of Does Not Exist $\forall L\in R,\exists ϵ>0$ s.t $\forall \delta >0,\exists x\in R$ s.t $0<|x-c|<\delta$ but $|f(x)-L|\ge ϵ$

Using Proof By Contradiction

https://www.youtube.com/watch?v=o-a7Te8qltg

1. Assume the limit exists (${\lim }_{x\to c}f(x)=L$)