MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof: Convergent Sequences are Cauchy | 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 prove that every convergent sequence is a Cauchy sequence. Convergent sequences are Cauchy, isn't that neat? This is the first half of our effort to prove that a sequence converges if and only if it is Cauchy. Next we will have to prove that Cauchy sequences are convergent! Subscribe for more real analysis lessons! Proof of Triangle Inequality Theorem: https://youtu.be/051WWg9twO0 Intro to Cauchy Sequences: https://youtu.be/VNoHcFoawTg Cauchy Sequences are Bounded: https://youtu.be/GulH7nS_65c Proof that Cauchy Sequences Converge: https://youtu.be/xhBfPoSjAR0 #RealAnalysis ★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