Sequences and Convergence (Real Analysis)

Hello!

Today we look at sequences and convergence, this video is split into four main parts with timestamps below! We start by recalling what sequences are, then we move a visualisation of what a sequence may look like as it converges (which is hopefully more intuitive). Next we establish the formal definition using the visualisation and finally conclude by solving a relatively simple convergence problem.

Chapters:
0:00 Introduction
0:32 Sequences Recap
1:31 Visualisation of Convergence
2:58 Formal Definition
3:59 Example

If you find this video useful, please like and share! If you have any questions then ask in the comments!

Infinium ❤️

[denizaktas]

incredible video. ive never seen a more clear expression. thanks so much

[PowerhouseCell]

Woah, this is SUCH an underrated channel! As a fellow educational YouTuber and someone who has used Manim, I understand how much time and effort must have gone into this— amazing job!! Liked and subscribed :)

[morl]

Wow, great video. Very high production quality, a bit like 3b1b. You definitely earn more subs...

[a.alharbawi]

Great video, though at 5:05 how can an absolute value of a function be less than its non-absolute value? when in the definition of absolute functions it states that |x| = x if x>=0 (in the case of sequences, n cant be negative anyways as we know), and |x| >= 0