Epsilon Delta Definition of Limits: Easy Explanation

Unlock the secrets of calculus with our latest video!
Join us on a mathematical journey as we delve into the Epsilon Delta Definition of Limits, demystifying a fundamental concept in calculus. Whether you're a high school student embarking on your calculus journey or a university-level math enthusiast, this video is your key to mastering the nuances of limits.

Don't miss out on this illuminating exploration of Epsilon Delta Definition of Limits – press play now and elevate your calculus knowledge!

📚 Stay tuned for more:
This is just the beginning! Subscribe for future videos covering a wide range of math topics. Whether you're preparing for exams like IB, IGCSE, or AP, or simply want to enhance your mathematical prowess, my channel is here to support your journey.

🔗 Don't forget to like, subscribe, and hit the notification bell to stay updated on upcoming tutorials. Together, let's make math not just a subject but an adventure! 🌟

#mathwithalex

[wediadi]

This was a great explanation of this usually tricky definition of limits. But it had been even beeter if you included real solved examples.

[mehmetefe]

Thank you so much. I opened your notifications about 1.5 months ago and i’m really glad i did. I’m a student in Türkiye. And i am trying to improve myself in math and physics and you are helping me so so so much by creating these videos and explaining things simply. ❤

[academyofuselessideas]

Thanks for this explanation.... often, focusing only on definitions obscure concepts. Once we remember that every definition was created by a human with the idea of capturing something deeper, we begin to dig for the deeper meaning... I like the analogy of epsilon as error, and delta as distance because it helps to find out that deeper meaning... One could ask something like, if I want to calculate the value of a function f at a point c, how close should i get to c so my error is bounded... this type of things turn out to be important in practice (like if you are calculating the function using a computer)... pretty great video.

[HunnyHunni]

Sir please make a video on this topic in detail for easy understanding..Thanks this vide helped me a lot

[nazaren_e]

it's nice that you actually made a video about this topic thanks now I better understand this topic❤❤

[NESRockman]

In short words we make an arbitrary small interval (error, epsilon) around L on the y axis and if we can make a sufficiently small interval (distance, delta) around c on the x axes. If all x within c interval falls into L interval corresponding to the function then L is a limit. I think the problem is that it is hard to see that f(x)->L as long x->c if we use intervals because it is a very different description what limit is. It doesn't capturing the moving and the intuitive definition as for instance Heine limit definition does. It is rather just some conditions which holds if and only if true when f(x)->L when x->c. (By the way Heine definition is also operates whit intervals behind the scene because it is based on sequence's convergence, but it is encapsulated within and hidden so it is better to think as Heine definition as the classic intuitive limit definition without intervals...) It is just how I see this.

[HunnyHunni]

Sir have you make a video of epsilon and delta definition of limit at (-, +) infinity?

[Clarivex]

Shouldn't it be like 0< | x-c | < δ

[MasterGxt]

I think it's time to accept that I'll never understand this definition

[nazaren_e]

anyways waiting for the example problems