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: • Proof: Limit of a Func...
Connecting Function Limits and Sequence Limits: • Connecting Function Li...
Show Function Limit Doesn't Exist: • Show Function Limit Do...
Properties of Functional Limits: • Proving all the Functi...
Definition of Continuity: • This is the Epsilon De...
Real Analysis Course: • Real Analysis
Real Analysis exercises: • Real Analysis Exercises
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
◆ Donate on PayPal: www.paypal.me/wrathofmath
Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Math Rap channel: / @mathbars2020
Негізгі бет Epsilon-Delta Definition of Functional Limits | Real Analysis
Пікірлер: 32