A Set is Closed iff it Contains Limit Points | Real Analysis

[@punditgi]

Great stuff! Keep it coming!
Happy New Year!

[@WrathofMath]

Thanks Ezra, same to you!

[@vladimircratos5041]

thank you , you have truly helped

[@henrywoo1668]

Very clear explanation !😊

[@WrathofMath]

Thank you! More analysis lessons on the way!

[@Bedoroski]

Thank you

[@TranquilSeaOfMath]

Nice presentation.

[@WrathofMath]

Thank you!

[@wackylahari1942]

super helpful

[@WrathofMath]

Awesome! Thanks for watching! Lots more real analysis lessons to come

[@henrywoo1668]

Great video ！

[@WrathofMath]

Thanks Henry!

[@PortalofGlory]

A set which is bounded and a set which is closed. are they referring to the same thing

[@Bedoroski]

(0,1) is bounded, but not closed.
If a set does satisfy both, being closed and bounded, we say it is compact, and vice versa.

[@KayKay-b9f]

This is on space or real line?

[@TheDarkky]

He's using the real intervals notation to denote neighborhoods but just change that to be the ball with center x and radius delta, for example and the same proof applies for any metric space.