(RA04) Completeness and Separability

In this video, we explore several concepts and results associated to upper bounds, lower bounds, supremums, and infimums. In particular, we explore the completeness axiom for real numbers, and use it to prove several important relations that are used in approximation theory, such as the Archimedean principle, and also use it to prove the separability of the real numbers (equivalently, the denseness of rational numbers within the reals).

*--The Let's Learn, Nemo Community--*

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