We introduce the epsilon delta definition of the limit of a function. We will explain the definition of a functional limit in depth, see some visualizations of it, discuss the negation of the definition of a limit, and then complete two epsilon-delta limit proofs for practice. #realanalysis
0:00 - Intro
0:59 - Epsilon Delta Definition of Limit of a Function
7:22 - Negation of the Definition (Function not Having a Particular Limit)
9:25 - Epsilon Delta Limit Proof 1
13:40 - Epsilon Delta Limit Proof 2
19:28 - Recap
20:05 - Epsilon Delta Limit Problem
20:54 - Outro
Oh My God Continuity is Weird: (coming soon)
Limit of a Function is Unique: https://youtu.be/40seqr32svc
Connecting Function Limits and Sequence Limits: https://youtu.be/7svyCaVjH6w
Show Function Limit Doesn't Exist: https://youtu.be/vGT1ohQHo5k
Properties of Functional Limits: https://youtu.be/iCN2IMgRpUw
Definition of Continuity: https://youtu.be/O98eOlHyWmQ
Real Analysis Course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli
Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC
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