Understanding Limits in Real Numbers - Math Foundations

Explore the concept of limits in mathematics through this comprehensive video lecture. Delve into a precise and simplified definition of limits for rational polynumber on-sequences, challenging the traditional epsilon-delta approach. Learn about the key components of scale (k) and start (m) in bounding the difference between a sequence and its limit. Examine the limitations of the epsilon-delta definition and discover a more intuitive approach to understanding limits. Investigate various examples, including constant sequences, and tackle practical exercises to reinforce your understanding of this fundamental mathematical concept.

Introduction
Definition of a limit
Definition of the limit of a sequence"
Problems with "limit of a sequence"
Rational polynumber on-sequences
Some obvious limits
Definition of limit new! with k and m
Constant sequence
An example and an exercise