Epsilon Definition of a Limit
In this video, I illustrate the epsilon-N definition of a limit by doing an example with absolute values. More precisely, I show that if a sequence sn goes to s, then |sn| goes to |s|. This is a beautiful use of the reverse triangle inequality.
Reverse Triangle Inequality: https://www.youtube.com/watch?v=O_dsQQgbpvY
Other examples of limits can be seen in the playlist below.
Definition of a Limit: https://youtu.be/GghShJHvxTY
Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFsdVzEd5y6GNvOSa1E
Check out my Teespring Merch: https://teespring.com/stores/dr-peyam