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Proof: Absolute Value Theorem for Sequences | Real Analysis

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Aug 19, 2021
7:46

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 🛍 Check out my math clothing store: 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/3CMdgjI We prove if the absolute value of a sequence converges to 0 then the original sequence does as well. So if (|a_n|) converges to 0 then (|a_n|) does as well. We go through two proofs of this, one using the definition of a convergent sequence and the other using the squeeze theorem. #RealAnalysis Proof for Absolute Value of a Convergent Sequence: https://youtu.be/VWvEvREHI7I Proof of Squeeze Theorem: https://youtu.be/hYY9piVkB6g Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu

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Proof: Absolute Value Theorem for Sequences | Real Analysis | NatokHD