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Proof: Supremum of {n/(n+1)} = 1 | Real Analysis

Today we prove the supremum of {n/(n+1)} is 1, using the Archimedean principle and the epsilon definition of supremum of a set.

The Real Analysis Playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli

Proof of Archimedean Principle: https://youtu.be/sG1FHUPdmxk
Definition of Supremum and Infimum of a Set: https://www.youtube.com/watch?v=QRGIhqz9vh4
Epsilon Definition of Supremum and Infimum: https://www.youtube.com/watch?v=lCpoEWJRYNk

Thanks to Nasser Alhouti, Robert Rennie, Barbara Sharrock, and Lyndon for their generous support on Patreon!

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I hope you find this video helpful, and be sure to ask any questions down in the comments!

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Видео Proof: Supremum of {n/(n+1)} = 1 | Real Analysis канала Wrath of Math
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31 декабря 2020 г. 23:00:06
00:10:20
Яндекс.Метрика