MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof x^2 is Continuous using Epsilon Delta Definition | Real Analysis Exercises

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 prove f(x)=x^2 is continuous on the real numbers using the epsilon delta definition of continuity. This will require some finesse with our delta, inequalities, absolute value, and the triangle inequality theorem. #realanalysis Epsilon Delta Definition of Continuity: https://youtu.be/O98eOlHyWmQ Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu