MATH 242: Analysis 1 (McGill Final)

Currently Playing: Epsilon-Delta Definition of Functional Limits | Real Analysis

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the premium tier! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Get the coolest math clothes in the world! https://mathshion.com/ Real Analysis course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC Get the textbook! https://amzn.to/45kcMjq 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 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 ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu 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