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

The supremum of the set containing all reciprocals of natural numbers is 1. That is, 1 is the least upper bound of {1/n | n is natural}. We prove this supremum in today's real analysis lesson using the epsilon definition of supremum! Definition of Supremum and Infimum of a Set:    • Definition of Supremum and Infimum of...   Epsilon Definition of Supremum and Infimum:    • Epsilon Definition of Supremum and In...   Proof: Maximum of a Set is the Supremum:    • Proof: Maximum of a Set is the Suprem...   Real Analysis Playlist:    • Real Analysis   Thanks to Nasser Alhouti, Robert Rennie, Barbara Sharrock, and Lyndon for their generous support on Patreon! ◆ Donate on PayPal: www.paypal.me/wrathofmath ◆ Support Wrath of Math on Patreon: www.patreon.com/join/wrathofmathlessons I hope you find this video helpful, and be sure to ask any questions down in the comments! +WRATH OF MATH+ Follow Wrath of Math on... ● Instagram: www.instagram.com/wrathofmathedu ● Facebook: www.facebook.com/WrathofMath ● Twitter: twitter.com/wrathofmathedu My Music Channel:    / @emery3050  

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