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Explore Definition of the Limit of a Sequence | Real Analysis with 244,727 views, 6,115 likes, and 239 comments. Experience the impact of this video content that has captured audience attention.

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: [email protected] What are convergent sequences, and what is the definition of the limit of a sequence? We introduce the definitions, with examples and a proof in today's video lesson! In the definition of the limit of a sequence, we seek to capture what it means for a sequence to get arbitrarily close, or converge, to some limiting value. We do this by using an arbitrarily small "tolerance" value called epsilon. If you're in an analysis class, get ready to write "Let epsilon be greater than 0" an awful lot. 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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