Epsilon - Delta Proof (precise definition of the limit)

In this video, I showed how to use the precise definition of a limit to prove it using epsilon -delta

[JourneyThroughMath]

I think my biggest confusion has always been, it doesnt seem like weve proven anything but rather generalized the relationship between epsilon and delta. Would it be possible to get a video where this definition fails. Say the limit of 1/x as x approaches 0 is undefined?

[repsaknivek]

Fantastic. You’re the only person on the internet that does all three parts:
1.) outline the formal definition.
2.) explain WHY you MUST choose certain things and why you MUST set up equations a certain way, because of what exactly you’re shooting for.
3.) work through an example while explaining “2.)”.

Everyone else has a video explaining “1.)” or else does a video showing “3.).”
But nobody except you does “2.)”, so we all end up like mindless robots simply imitating by doing the steps in “3.)” without really understanding why we are doing it that way (which means “1.)” was pointless - because we don’t get the connection between the formal definition and the problem solving).

You’re the only person that provides the mental bridge between the theory and the practical, so we can be mentally equipped with theory only (as it should be) and use it as a proper weapon to defeat the problems given to us in our classwork.
So thank you very much.
Nobody else explains what we have to shoot for and why we have to shoot for it (how the theory/definition works.)
Bravo.

[tembomathematician]

My whole lectures I could just hear two words EPSILON and DELTA the rest is history.

But thanks to you man you have made it simple. Thanks

[jensberling]

Wonderfully explained. It reminded me that using a definition in a proof requires an if and only if proof. And that is what you just did. It is so easy and elegant explained. Thank you

[ganizanijosephy]

Obtaining Degrees at Universities and colleges would be extremely difficult and 90% would not be possible without free online tutors like you! Bro, May Almighty GOD bless you abundantly 🙏🙏🙏

[brendanward]

Epsilon is on the y-axis, delta on the x-axis. I never really got that ... until today. Thanks.

[musicphysics-mathematicsfu]

This guy is a WIZARD! He uses his wizardry to " heal" Mathematics patients!

Kudos, Newton a.ka. NEW-THING ( in your maths tutoring!)
I hope we meet in person someday...I need to give you a handshake!

Orekoya olusegun, University of Ibadan, Nigeria, W/A

[PapagenoDispo]

this helped me so much!!! words can't express how thankful i am for you breaking everything down for dummies like me!!!

[BasilElsydabi]

You are the best!!! It all finally clicked the confusion around this topic is completely gone. Thank you truly from the core of my heart I really appreciate you and the work you do.

[Tee]

Struggled on this for 2 weeks

Had consultation after consultation with my professor spanning over 2h, there was a point where i even thought im dumb and math is not for me, but this video explained this topic so clearly

Thank you very much prime newtons 🎉

[mahmoodhussam]

مبدع و متألق استاذ ابو العبد، عندي امتحان رياضيات اليوم وفعلا انقذتني. ربي يوفقك ويحفظك بحق محمد وال محمد

[jensberling]

Thank you. The way you explain that to choose the shorter distance for delta to be within the range of epsilon is essential to understand the epsilon-delta proof is mind opening. Thank you again. I rejoice in understanding this kind of proofs.

[samingly]

You really helped me understand this, I love the way you teach! You explained in different angles in which I can understand now! Thank you

[blackovich]

Thank you again. You always deliver the best explanation.

[MosiuwaDavidMofokeng]

Thank you so much. I am a very slow person when it comes to understanding but you, you made it clear and understandable enough for me to get it in few minutes. Please do continue to do more😊❤.

[GladnessGeorge-gr]

Thank you prime network as you said never stop learning and I tell you never stop giving the good explanations✍️✍️✍️

what a great tutorial of delta epsion criteria. nobody has explained it better. thank you so much. i finally understand it now and can use it in a math problem. keep making videos like this. much love!!

[InsightfulMinds]

give this guy a nobel prize please ... We as students would like to thank you and we appreciate your service!👌👌

[diablo]

"Wow, this video is incredibly well-explained! You made a complex topic so much easier to understand. Thank you for breaking it down in such a clear and engaging way—I'm sure it's going to help a lot of people on their learning journey! Keep up the great work!"

[herbertsusmann]

This is probably the best math channel I have found on YouTube!