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?

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

NEVER SEEN SOMEONE EXCITED WITH HIS WORK. YOU SIMPLIFIED THIS THING BIG TIME

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 🙏🙏🙏

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.

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

dude you're a legend. Nobody explained it as well as you were able to.

I'm from Algeria 🇩🇿🇩🇿🇩🇿 and a Like your teaching❤❤

This 20-minute video explains things more clearly than hours of lectures, you are truly my savior! 🥰

the GOAT you've saving my college classes

This man deserves at the very least a plaque on the moon 🎉

I wish you were our university
teacher😭🙏🏻

You basically replaced my 3 lectures with a brilliant explanation of this concept! Thank you very much!

This was so helpful!!! Thank you so much! I vaguely grasped the relationship between epsilon and delta but was utterly clueless on how to set up a proof.

THIS MAN, IS THE GOAT OF GOATS. MACHINE TIMES MILLION. YOU HAVE CLEAN MY BRAIN NOW. THANKS.

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

Prime Newtons always shows the way! 🎉😊

2:54 this teacher is definitely the best 😂

my friend fin really likes your hat!!!

Epsolon had become epsolon
But this one is the best teacher ever😂