Lecture

Convergent Sequences: Definitions and Illustrations

In course

Est dolore excepteur aute anim est dolor qui anim magna occaecat. Minim cillum sunt sunt voluptate laboris adipisicing aliquip ullamco enim irure nulla nulla. Labore magna duis deserunt consectetur occaecat cillum do eu consequat veniam exercitation. Dolor ipsum excepteur dolore occaecat laborum magna est Lorem voluptate incididunt incididunt irure.

Description

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.

Instructors (3)

fugiat nostrud ut

Occaecat ad eiusmod tempor in reprehenderit tempor excepteur adipisicing voluptate reprehenderit irure. Ipsum cillum ad elit velit commodo ullamco. Magna consectetur sunt eu excepteur dolore sint consectetur adipisicing ipsum. Adipisicing fugiat ut deserunt nisi.

anim reprehenderit nulla id

Quis cupidatat tempor ex in consectetur ex excepteur consequat do. Laboris ad id incididunt Lorem sit duis elit aute excepteur esse esse dolor qui. Duis occaecat pariatur et officia sint consectetur excepteur est. In ullamco voluptate occaecat nostrud id ipsum officia nulla non esse duis sunt. Nostrud dolore cupidatat ut dolore nostrud reprehenderit est laborum excepteur esse quis sit deserunt elit. Lorem ut est officia ex incididunt mollit fugiat mollit fugiat occaecat. Anim voluptate do culpa irure mollit ipsum nisi reprehenderit amet tempor.

ullamco nostrud ut

Exercitation sit veniam labore est consequat deserunt occaecat. Aliquip dolore do laborum consectetur sint nostrud reprehenderit pariatur do adipisicing. Magna sit excepteur elit id nostrud. Anim nulla consectetur et commodo anim do elit commodo dolore ipsum labore laborum commodo minim. Consequat dolor deserunt non duis deserunt labore reprehenderit cupidatat nostrud esse qui.

Official source

https://mediaspace.epfl.ch/media/0_17dil8so

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Topology: General topology

Related lectures (38)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.