Lecture

Limit Superior and Limit Inferior

In course

Proident excepteur non exercitation amet mollit ea minim est et reprehenderit ad eiusmod. Veniam nulla aliquip et laborum enim ex ullamco fugiat aliqua esse est sunt. Enim voluptate nulla quis sint non ut laborum enim quis deserunt incididunt Lorem id dolore. Labore exercitation nulla incididunt eiusmod ea et. Sint eiusmod deserunt in commodo consectetur do laborum Lorem irure cillum minim culpa. Ex voluptate anim ullamco nulla dolore non ut ut non deserunt aliquip mollit.

Description

This lecture covers the concepts of limsup and liminf, illustrated with an exam-type exercise and examples. It explains the Bolzano-Weierstrass theorem, accumulation points, and the properties of bounded sequences. The lecture also delves into the concepts of lower and upper limits, convergence of subsequences, and the convergence of bounded sequences. The instructor demonstrates the calculation of limsup and liminf for various sequences, emphasizing the importance of accumulation points and the convergence of bounded sequences.

Instructor

qui dolor est culpa

Sint dolor nostrud laboris labore. Cillum in occaecat proident voluptate laboris dolor in dolore. Laboris laborum dolor laborum reprehenderit ut in qui sunt non sit occaecat ad dolore.

Official source

https://mediaspace.epfl.ch/media/0_7vfl9zlu

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

Analysis: Calculus

Topology: General topology

Related lectures (120)

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.