MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof: Sequence 1/sqrt(n) Converges to 0 | Real Analysis

Support the production of this course by joining Wrath of Math to access all my Real Analysis videos plus lecture notes at the premium tier! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Check out 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/4lNpyNN Business Inquiries: wrathofmathlessons@gmail.com We will prove the sequence 1/sqrt(n) converges to 0. In other words, we're proving that the limit of 1/sqrt(n) as n approaches infinity is 0. We use the epsilon definition of a convergent sequence and the proof is straightforward, following the typical form of a convergent sequence proof. Proof of Archimedean Principle: https://www.youtube.com/watch?v=sG1FHUPdmxk Definition of the Limit of a Sequence: https://www.youtube.com/watch?v=cTnlHZD5ss4 Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu