In this video, I explained the steps in proving the limit of a quadratic using delta-epsilon proof.
Пікірлер: 164
@VasilEPetkov10 ай бұрын
My professor prooved the same thing to us. He skiped all the (un)necessary comments what's coming from where so I was so lost looking back at my notes. Your videos are for sure saving me :D
@tomtomspa6 ай бұрын
The explanation is all wrong.
@CANALIMG5 ай бұрын
Sir, could you recommend a better video? @@tomtomspa
@estangiertmichperipher62Ай бұрын
@@tomtomspait’s not
@isabellacrow83695 ай бұрын
This is it. Two hours of working on the same delta-epsilon problem, and this is the video that made it click for me. Thank you.
@justinetheewordgiver1197 Жыл бұрын
My first time to appreciate someone on KZbin
@PrimeNewtons Жыл бұрын
Thanks
@piousmazonde5979 Жыл бұрын
Mathematics becomes easier for me because of how you explained it in such simple ways....Thank you very much
@yohannesyebabe792311 ай бұрын
It was wrongly explained!
@tomtomspa6 ай бұрын
@@yohannesyebabe7923 I cannot believe how someone so poorly knowledgeable on limits get to wrongly explain them on yb
@mrhunterai...33111 ай бұрын
You're really making our life much simpler and thanks a lot. You simplified the proofs very well.
@MathTutor110 ай бұрын
First I need to tell you that you have great videos with excellent explanations. These definitely make math learning interesting, enjoyable and easy to understand. The point of this comment is to let you know about a very important notation matter. When we right limit at the beginning without a parenthesis, the limit only belongs to the first term. So, the correct way to write it is to use a parenthesis around all three terms as lim{ x → 1} (x²+5x+6) = 12. Keep doing what you are doing. Thank you.
@tomtomspa6 ай бұрын
Unfortunately that's the least serious error of the video.
@AdrianYung-oo6qf2 ай бұрын
I love the way you are so enthusiastic about teaching!! thank you so much for the video :)
@EyosiasMulugeta-i7f Жыл бұрын
You are One of the Great Teachers i have ever seen Thank a lot!!!!
@itsmemario12989 ай бұрын
9:18 I did the same expression and the meme appeared! Truly magnificient! YOU GOT ME! LOVE FROM INDIA
@hriday86904 ай бұрын
This is the best I have ever heard this concept explained. I was struggling with understanding how the proof worked for the past 2 days, and I finally understand now. Thank you!
@abnertv224 ай бұрын
SO AM I FROM University of Namibia 👌👌👌👌👌👌
@solha5751 Жыл бұрын
Bro you are amazing , i mean you have the talent to be a teacher bc you try to understand the students❤❤
@PrimeNewtons Жыл бұрын
Thank you
@anvarkhaydarov123614 күн бұрын
Thank you so much for the explanation. Watched bunch of other videos and yours was the simplest to understand
@mohammedaminelm78362 ай бұрын
You are the best math teacher that exists!
@digbycrankshaft7572 Жыл бұрын
Because lx+6l
@yohannesyebabe792311 ай бұрын
He should replaced by 6. and He should choose delta a min {1, e/6}
@kamrulhassan71576 ай бұрын
A very very brilliant lecture from a genius . Thank you sir for your contribution.
@emmanuelnhunde5 ай бұрын
I actually appreciate you for the good work ,,,God bless you
@yohannesyebabe792311 ай бұрын
The proof has fundamental error! The correct proof is as follows Let f(x)=x^2+5x+6 We want to show lim x->1 {(f(x))}=12 For all e>0 whenever |f(x)-12|
@Kittu-uc1yd3 ай бұрын
Thanks a lot buddy! ✌🏻💚 This comment deserves a lot more likes.
@brendawilliams80623 ай бұрын
Why would you need this type of math
@yohannesyebabe79233 ай бұрын
@@brendawilliams8062 It is the rigorous mathematical analysis called the epsolon delta techniques.
@brendawilliams80623 ай бұрын
@@yohannesyebabe7923 thx. , but what can you do with it
@yohannesyebabe79233 ай бұрын
@@brendawilliams8062 To prove mathematical theorem.
@lusianelundu2702 Жыл бұрын
Your handwriting is dope sir and I love the way you have explained.
@PrimeNewtons Жыл бұрын
Thank you!
@MariusMusikus2 ай бұрын
Hey, first of all, i really like your videos. You are doing a great job! I am a fan of generalizing the epsilon-delta-criterium and give a specific formula for delta. What I found out was that, if you choose for a general x_0 (which is in this case 1 of course) the formula delta (epsilon) = - abs(x_o) - 5/2 + sqrt( epsilon + (abs(x_0) + 5/2)^2), you get a guaranteed delta for any epsilon > 0 that you choose. Thank you for your great videos again. They are very inspiring!
@TinotendaMuchenge10 ай бұрын
Plus the way u smile doing some cracks, while solving, its just fantastic, u wont be left with any qsn
@TinotendaMuchenge10 ай бұрын
Wooow Man u the best, i actually had a crisis in understanding this, but i just grasped it easily, The best of the Bestest
@EbenezerMandala7 күн бұрын
Your videos are better enough. Thank a lot sir
@znhait Жыл бұрын
best video on the subject so far.
@SenzeniNxasane4 ай бұрын
thank you very much i was really confused on this delta and epsilon proofs you just made my day,thank you sir
@NeuCoupAlloi Жыл бұрын
You my friend are an excellent tutor. Great job on Precise Definition of a Limit !!! Keep up the good work....sorry... Great Work.
@mkmathstutorials6645 Жыл бұрын
Like how you explain it my brother.much appreciated.
@epsilonxyztАй бұрын
Never Stop Teaching!
@piousmazonde5979 Жыл бұрын
You are a Geneous sir...Excellent in making mathematics simple ..very good in explaining
@PrimeNewtons Жыл бұрын
I want to be a genius. It's just hard 😪 🤣
@arkoghosh62189 ай бұрын
Hello Sir, there is a mistake in this proof. You cannot replace |x+6| with 8 and be sure that 8|x-1|< E. We can take 6 instead of 8 but in that case in the last step you wont be able to replace |x+6| with 6, hence we get stuck. Could you please check for this.
@okohsamuel3148 ай бұрын
That's exactly what I also figured out...👍
@m.lkadri6070Ай бұрын
We may take delta=min{1, epsilon/8}
@samaunislam7071 Жыл бұрын
It's Amazing. I watched many videos but after watching this video I understood the math well.
@josephmartos4 ай бұрын
J has to pass my Calculus I course knowing that i will fail in every question of this type. Great explanation!!! Thank you
@Mahmoud-p8r11 ай бұрын
Even i can miss up a class,, its okay with this handful of skills, i really appreciate you.
@arbenkellici38088 ай бұрын
You are really doing an excellent explanation and thus make our life easier in understanding maths even though it is not my proffesion. Awesome! Thank you!
@NickStark-t6m Жыл бұрын
Damn , that's some quality teaching .
@easylearing87 Жыл бұрын
Bro keep uploading...Love from Bangladesh 🇧🇩
@Abhishek-ti5er18 күн бұрын
Very helpful master ❤❤❤ from India.
@trendsacrossafricaАй бұрын
I understood this today 😢 You are a great teacher 👏
@LEBOHANGSEBATA-o4k9 ай бұрын
Your enthusiam for maths makes me like it
@priyom_0526 күн бұрын
Thank you very much sir ❤ From india 🇮🇳
@alpmuslu39547 ай бұрын
Can someone please explain when 9:04 he writes x+6 as 8 in the inequality. Because he showed that x+6 is less than 8, but when he inserts 8 in the epsilon inequality, he technically increased the left hand side of the inequality without increasing the right hand side (epsilon). Which makes me a little suspect on whether the inequality will hold true. I am no professor and I respect everything he does, but I get delta=epsilon/6. Please feel free to enlighten me. Cheers from Denmark
@nigarabdullayeva790210 ай бұрын
why x-6 cannot be replaced with 7? it is smaller than 8 how we replaced that?
@levailiona3399 Жыл бұрын
THANK YOU SO SO SO MUCH YOU HELP ME A LOT A REALLY LOVE YOUR EXPLANATION
@punditgi2 жыл бұрын
He does it again! Bam! QED! 😃
@mikeynavarro3195 Жыл бұрын
By far best explained thankyou
@PrimeNewtons Жыл бұрын
Glad it helped
@mathiscool2310 Жыл бұрын
this is the serious issue what am i going to tell you.... if 6 < x+6 < 8 and at the same time |x+6|.|x-1| 6 and now replace x+6 with 6 then it will be not contradict because the product of |x+6|.|x-1|
@mathiscool2310 Жыл бұрын
i dont know you are looking for this or not..... i hv figured out the mistake.. you should not start with lx^2 +5x-6l
@digbycrankshaft7572 Жыл бұрын
Yes you are right. I spotted that straight away.
@ayotundeajamu2720 Жыл бұрын
When you want to show that the left hand side is less than the right hand side, you should always increase the left hand side. So 8 and not 6 was the correct choice.
@hqs95858 ай бұрын
Great video! Thanks. It would be nice to add some graphics to bring this concept to clarity.
@ayalktube5991 Жыл бұрын
your videos are very interesting keep going on !
@curious_cat505 Жыл бұрын
God bless your soul. Thank you
@PrimeNewtons Жыл бұрын
Amen
@leratomoetinyane Жыл бұрын
I finally understand this brother thanks a lot
@mrsimphiwebazzano8776 ай бұрын
Can you please try this problem Use Epsolon delta Def to show that Lim x-->-1.(2x+3)/(x+2)=1
@tawandadhlakama318710 ай бұрын
You're so talented
@fikaduwalie6066 Жыл бұрын
really exciting
@Tee03132 ай бұрын
Truly amazing
@rk-ds4vl2 ай бұрын
Very good sir love from antartica
@zeusui4934 Жыл бұрын
Thank you so much for the very clarification🎉❤
@StuartSimon Жыл бұрын
In your linear example, you had the process right, but you stated it as “for every delta, there exists epsilon.” It is an easy mistake to make. I actually had to read an epsilon-delta proof in my textbook to understand why it had to be “for every epsilon, there exists delta.” We first find the delta and then prove that it implies the given epsilon.
@PrimeNewtons Жыл бұрын
Oops, that was an error.
@WritersDigest-b8f9 ай бұрын
8:58 We substituted 8 because we |x-1
@سلمانيوسف-ر5خ2 ай бұрын
what a nice video to watch
@dilshanwijemanna4898Ай бұрын
wow superb sir ❤
@Arkapravo3 ай бұрын
Love that t-shirt!
@Udics6 ай бұрын
Bravissimo. Con te e con Robert Ghrist la matematica è un incanto. Grazie 😊😊
@josephpagapong2498 Жыл бұрын
thank you so much sir, it really helps me a lot. And now, maybe I can answer our exam tomorrow hhahhaha
@PrimeNewtons Жыл бұрын
Good luck
@krishnashroff6576 ай бұрын
Best love from India❤
@cristopherurrutia8591 Жыл бұрын
Thanks man, I finally got it
@PrimeNewtons Жыл бұрын
Glad it helped
@biswambarpanda44686 ай бұрын
Wonderful sir. You are wonderful..
@b3ztc1ipz5 күн бұрын
holy crap u saved me brotha
@DugumaFekedeАй бұрын
which one is dependent
@FenetAbilu Жыл бұрын
It is good. I am lucky if you add another example.
@bangprob8 ай бұрын
Great teacher! Thanks...
@CatherineYang-hy4ti4 ай бұрын
Thanks help me a lot
@20tejas Жыл бұрын
in the second part can we not substitute delta = epsilon/8 into |(x-1)|< delta for the proof to be satisfied.
@PrimeNewtons Жыл бұрын
It depends on what your teacher wants. Some just want you to show there is a delta. But some want you to show that that value you found truly works. So ask the professor what they want.
@20tejas Жыл бұрын
@@PrimeNewtons thanks professor.
@adityabhagoria13742 ай бұрын
If not possible thank for your videos
@OpPhilo036 ай бұрын
Love❤ from India
@nebaofficial33434 ай бұрын
Ohh you are so so good❤
@jihansarhan93928 ай бұрын
That is easy and clear , do you do one to one tour ?
@PrimeNewtons8 ай бұрын
Yes. Please send me an email
@masoudhabibi700 Жыл бұрын
Thanks for video.... epsilon and delta greater than zero is true
@yuxinhe59877 ай бұрын
Man u save my life
@KHAYMYA6 ай бұрын
AWESOME SIR YOU ARE JUST A GREAT MAN THNX A LOT SIR
@ramyramy9620 Жыл бұрын
Thanks so much 🙏
@okwaraisaac3510 Жыл бұрын
What if you are asked to proof lim X--2 2x² +3 =11 . How can I go about it?
@Andalfulfulde9 ай бұрын
Respect from Cameroon +237, 3:19 🎉🎉🎉
@tahreemrana1125 Жыл бұрын
So helpful sir amazing ❤
@DarteySelasi-kq6qx2 ай бұрын
Do you have calculus 1 playlist?
@TheGoatsy6 ай бұрын
Countless hours of calculus and epsilon delta videos and I still have no clue what is going on
@adityabhagoria13742 ай бұрын
Thankyou in advance
@trhasamare8865 Жыл бұрын
wow u r great man
@ElishaSotuminu Жыл бұрын
well taught sir
@kingsterfolokwe6516 ай бұрын
great job Bosses
@Tee03132 ай бұрын
Love the 2+2=4 shirt
@propoop6991 Жыл бұрын
8:40 no i dont get that. Why does that work? Why does replacing |x+6| by 8 as a result of that inequality work?
@PrimeNewtons Жыл бұрын
It doesn't have to be 8. You could use another constant. Just keep track.
@propoop6991 Жыл бұрын
@@PrimeNewtons I get that part. I'm just wondering how replacing it by 8 keeps the inequality the same!
@propoop6991 Жыл бұрын
nvm im so stupid. If ab
@Labrador.007 Жыл бұрын
Yes
@PrimeNewtons Жыл бұрын
Correct!
@renesperb8 ай бұрын
Here I can't see the value of proving this as a limit , since one can just plug in the value 1 into this continuous function.
@AymenEndris-l1p3 ай бұрын
U're genius
@Mathematics-with-MohsinRaja11 ай бұрын
Sir which camera are you using
@davy6255 Жыл бұрын
thank you so much!
@alpmuslu39547 ай бұрын
You are great
@bhagirathikashyap602111 ай бұрын
Nice explanation
@solomonKachi7000 Жыл бұрын
my mind asks me "why" I get what your doing but I do not get why this makes sense or how I can remember this because I do not understand its logic
@PrimeNewtons Жыл бұрын
Your mind is active
@solomonKachi7000 Жыл бұрын
@@PrimeNewtons Yes :(
@gp-ht7ug6 ай бұрын
Every time I see these videos on delta-epsilon I come to the conclusion that the proof is always a tautology 🤷🏻
@jayrum7303 Жыл бұрын
Great!
@12.lethanhhoai654 ай бұрын
i think u should choose delta=min{ ep/8, 1 }, this is my idea