Epsilon Definition of a Limit
In this video, I illustrate the epsilon-N definition of a limit by doing an example with square roots. More precisely, I show that if a sequence sn goes to s, then the square root of sn goes to square root of s.
Note: I forgot to mention: The case s = 0 can be dealt separately by just letting N be such that |sn - 0| is less than epsilon^2
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