MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof x^3 is Continuous using Epsilon Delta Definition | Real Analysis Exercises

We prove f(x)=x^3 is continuous on the real numbers using the epsilon delta definition of continuity. This will require some finesse with our delta, inequalities, absolute value, factoring a difference of cubes, and the triangle inequality theorem. #realanalysis Join Wrath of Math to get exclusive videos, lecture notes, and more: https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join Epsilon Delta 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 Get the textbook for this course! https://amzn.to/3CMdgjI ★DONATE★ ◆ Support Wrath of Math on Patreon: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Outro music by Ben Watts: https://crayon-angel.bandcamp.com/music Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu