Real Analysis | Isolated points

We give the definition of an isolated point of a subset of real numbers.

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[sinecurve]

The end of this video is an isolated point from the set of useful content in this video.

The good place to stop is a limit point in the set of useful content in this video.

[parameshwarhazra]

Michael penn I really like the way you attack the problem and the method of your explanation. Keep it up. With love from India

[shivansh]

I really don't know about ISOLATED. POINTS then also I watched the video for having fun with MICHAEL PENN

[Reliquancy]

0:57 That’s a pretty introverted way to describe limit points and isolated points lol

[parameshwarhazra]

6:52 may that's a good place to stop and we come back and look at the notion of the closed

[datsmydab-minecraft-and-mo]

The Graphical Representation helped a lot. Thanks!

[loopingdope]

I already thought that i can wake up to 1 7 m i n u t e s of this goodness

[goodplacetostop]

6:50 before entering the void for 11 minutes 🤔

[peacecitizen]

3:25 it seems that the intersect of the set and the e-neighborhood would be the empty set. What am I missing?

[elgourmetdotcom]

What a short video but nice and super clear; what happened after minute 7?

[sarah-r]

Could you please send me the link of the previous video you talked about (0 the accumulation point)

[Cmummy]

The Maths grind just doesn't stop here 😎💪🏻

[supermacc]

Saludos. Debería haber una opción para subtitulos en español.

[weilam]

A nice video to explain the isolated point and closed set!
But there are too many advertisements that distracting me from watching it.

[cef]

½ way through following more closely than normal, wonder how much longer? 13 minutes. No way I'm going to understand what's at minute 15 of this video.

11 minutes of silence ftw.

[noumaneelgaou]

Tank you meter for this vidios can you explained graph theory

[CM_France]

Hi,

Not enough time to eat my cake as usual, so... no, not really a good place to stop :)

[debendragurung]

Context : While trying to prove in the sequence {an} =1/n, that all the 1/n are isolated points.
Isn't it sort of cheating when we are using ε>0. where ε is a real number.
Anyways as bizzare as it is I get the jist of how we are trying to understand numbers.

[paologat]

Good video but PLEASE stop interjecting “maybe” every couple of sentences.