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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the definition of convergent sequences, with illustrations in R², and the concept of bounded sequences in IR. It also explains the definition of subsequences and the Bolzano-Weierstrass theorem. The instructor demonstrates how to identify bounded sequences and sub-sequences, and how to prove convergence in R². The lecture concludes with a discussion on the properties of compact sets and the uniqueness of limits. Various examples and proofs are provided to enhance understanding.