Your continuous explanation of "why it works" depicts how deeply you understand it. You have a very abstract, yet beautiful, understanding of mathematics. For that, you have my respect.
When I first watched this video I didn't understand.on the next day i watched it again.now I'm teaching my fellow students the same solutions.what I thought was complicated is now very easy.thankyou so much for the deep explanation.you earned my respect❤️✍🏾🙂
U should author a book on Calculus with many examples of ε δ limit proofs, u explained it so well. U are blessed with a brilliant mind. U left no doubt in my mind about even the smallest things. For the first time my mind is accepting with clarity every aspect in the solution around ε δ proof from the beginning to the end. Thank you so much
"I'm not stopping just because I'm tired... I'm stopping because I'm done." Lol, very helpful, in fact so much more helpful than my textbook. I'm still confused, but I feel I'm a lot closer after this video.
@@ScytheCuriethe whole essence of limits is to come closer as possible therefore 2+ delta is good estimate. Also remember that the goal of the proof is to determine that the limit exists at x = 2 and that it is actually 4. So delta must be close enough to 2
What I think is kind of sketchy about these epsilon - delta proofs is the need to 'pre-suppose' what we are trying to prove in order to find a value or set of values for the variable 'delta'. It REALLY seems like some-sort of circular logic. Pre-supposing that 'idea', for lack of a better term, then demonstrating it works in the other direction (essentially just substituting it back into the proof, just 'undoing' all the algebra we did to find it), just seems like circular - logic. We learn these proofs in calculus one, see them maybe on the corresponding midterms / the final exam, and BAM never seen again. These proofs are just a logic fallacy, and a waste of time and brain power.
Your continuous explanation of "why it works" depicts how deeply you understand it. You have a very abstract, yet beautiful, understanding of mathematics. For that, you have my respect.
I have check at least four calculus books but no explanation is as satisfactory as yours. Thanks professor.
When I first watched this video I didn't understand.on the next day i watched it again.now I'm teaching my fellow students the same solutions.what I thought was complicated is now very easy.thankyou so much for the deep explanation.you earned my respect❤️✍🏾🙂
U should author a book on Calculus with many examples of ε δ limit proofs, u explained it so well.
U are blessed with a brilliant mind. U left no doubt in my mind about even the smallest things. For the first time my mind is accepting with clarity every aspect in the solution around ε δ proof from the beginning to the end.
Thank you so much
Omg hi Professor. You wreaked my brain in 4C in like 2017 and you showed up in my recommended videos? I graduated from UCR in EE. You're the best.
oh oops 3C
"I'm not stopping just because I'm tired... I'm stopping because I'm done."
Lol, very helpful, in fact so much more helpful than my textbook. I'm still confused, but I feel I'm a lot closer after this video.
Great video! One thing that is very confusing to me is at 6:55 . Why does the statement not read |x+2||x-2|
This was the most challenging thing that I've seen thus far in my review of mathematics.
Thank you Excellent lesson. Very clear explanation of a not so clear proof..
Thank you for articulating every step, making me think and understand. 🙂🙃🙂
Awesome professor, Educator
Could u do few more examples using rational functions, quadratic, cubics, radicals?
I have found salvation! Thank you!
Could u suggest a calculus book with many δε, Ν & Μ Limit proof examples, and explanation like u explain?
Very clearly explained 👍.
Very good explanation.Thank you
You are very good teacher ... Thanks ma
This is really great! Thank you!
Bien expliqué ..Bravo Karla et MERCI
Anyone know why we have to bound delta to be less than one, why not some other number.
We often use 1 because it makes the math easy, but you can choose any positive number like 1, pi, 1/e, 52!, etc.
@@ScytheCurie52! 😂
@@ScytheCuriethe whole essence of limits is to come closer as possible therefore 2+ delta is good estimate. Also remember that the goal of the proof is to determine that the limit exists at x = 2 and that it is actually 4. So delta must be close enough to 2
Want if i choose delta Lessthan or equal to 2. Is it correct
Switch the lights on☹️
Very helpful video, thanks!
Thanks 👍👍
Yes well explained thankyou for a clear exposition.✔
Hello ma'am can we use this method for all kinds of quadratic functions?
Thanks very much...that was very helpful
Thank you indeed
thank you very much for the explanations
Help with the name wana search for more of your videos,your amazing
Well explained
Thanks
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great
Waaw
thanks0000000000000thanks
best best best
What I think is kind of sketchy about these epsilon - delta proofs is the need to 'pre-suppose' what we are trying to prove in order to find a value or set of values for the variable 'delta'. It REALLY seems like some-sort of circular logic. Pre-supposing that 'idea', for lack of a better term, then demonstrating it works in the other direction (essentially just substituting it back into the proof, just 'undoing' all the algebra we did to find it), just seems like circular - logic. We learn these proofs in calculus one, see them maybe on the corresponding midterms / the final exam, and BAM never seen again. These proofs are just a logic fallacy, and a waste of time and brain power.
delta must be min{1, ...}. etc. your explain delta
You're amazing. I am working on an equation for fun, could I pick your brain? I can send me email/phone if you can help me 😊