Inequalities and Limits in Real Numbers - Math Foundations 107

Explore a simplified approach to the epsilon-delta definition of limits and delve into inequalities in this mathematics lecture. Learn how to certify limits using just two natural numbers, visualize limits with hyperbolic envelopes, and work through practical exercises. Examine inequalities for natural numbers, integers, and rational numbers, understanding crucial concepts like positivity. Apply these foundational skills to solve limit problems and gain a deeper understanding of mathematical analysis.

A simpler limit definition
Re-writing a basic inequality
Example of a simple limit
A limit of a rational polynumber
Inequalities
Inequalities and how to work with them
Inequalities with integers
Positive versus non-negative
Inequalities with rational numbers
Further limit exercises