Neighborhood of a Point in Real Analysis | Real Analysis

What is an epsilon neighborhood of a point in real analysis? We introduce the definition of the neighborhood of a point and show how the definition of the limit of a sequence can be rewritten in terms of neighborhoods. The concept of a neighborhood is important, so it's handy to have this convenient language and notation to describe it. We'll also see examples of neighborhoods visually. #realanalysis

Real Analysis playlist:    • Real Analysis  
Real Analysis exercises:    • Real Analysis Exercises  

Open Sets:    • Intro to Open Sets (with Examples) | ...  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!

Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020