Epsilon-Delta Proof (Quadratic)

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  • Опубликовано: 25 ноя 2024
  • In this video, I explained the steps in proving the limit of a quadratic using delta-epsilon proof.

Комментарии • 186

  • @isabellacrow8369
    @isabellacrow8369 8 месяцев назад +18

    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
    @justinetheewordgiver1197 Год назад +21

    My first time to appreciate someone on RUclips

  • @VasilEPetkov
    @VasilEPetkov Год назад +54

    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

    • @tomtomspa
      @tomtomspa 8 месяцев назад +1

      The explanation is all wrong.

    • @CANALIMG
      @CANALIMG 7 месяцев назад

      Sir, could you recommend a better video? ​@@tomtomspa

    • @estangiertmichperipher62
      @estangiertmichperipher62 3 месяца назад +1

      @@tomtomspait’s not

  • @itsmemario1298
    @itsmemario1298 11 месяцев назад +6

    9:18 I did the same expression and the meme appeared! Truly magnificient! YOU GOT ME! LOVE FROM INDIA

  • @henryfayol6667
    @henryfayol6667 18 дней назад +1

    You are good lecturer may the Lord Jesus bless you in all your endeavors 🙏

  • @piousmazonde5979
    @piousmazonde5979 Год назад +29

    Mathematics becomes easier for me because of how you explained it in such simple ways....Thank you very much

    • @yohannesyebabe7923
      @yohannesyebabe7923 Год назад +2

      It was wrongly explained!

    • @tomtomspa
      @tomtomspa 8 месяцев назад

      @@yohannesyebabe7923 I cannot believe how someone so poorly knowledgeable on limits get to wrongly explain them on yb

  • @mrhunterai...331
    @mrhunterai...331 Год назад +10

    You're really making our life much simpler and thanks a lot. You simplified the proofs very well.

  • @emmanuelnhunde
    @emmanuelnhunde 7 месяцев назад +2

    I actually appreciate you for the good work ,,,God bless you

  • @kamrulhassan7157
    @kamrulhassan7157 8 месяцев назад +3

    A very very brilliant lecture from a genius . Thank you sir for your contribution.

  • @EyosiasMulugeta-i7f
    @EyosiasMulugeta-i7f Год назад +6

    You are One of the Great Teachers i have ever seen Thank a lot!!!!

  • @MathTutor1
    @MathTutor1 Год назад +14

    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.

    • @tomtomspa
      @tomtomspa 8 месяцев назад +1

      Unfortunately that's the least serious error of the video.

  • @frinky21
    @frinky21 2 месяца назад

    I spent an hour working on one of these proofs and this video was the one that showed me how to replace the factored part (|x + 6|). Thank you so much

  • @NourAfifi-g7d
    @NourAfifi-g7d 24 дня назад

    I didnt understand anything before watching this video. but you made it way easier to understand. thank you brother

  • @TinotendaMuchenge
    @TinotendaMuchenge Год назад

    Plus the way u smile doing some cracks, while solving, its just fantastic, u wont be left with any qsn

  • @hriday8690
    @hriday8690 6 месяцев назад +1

    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!

    • @abnertv22
      @abnertv22 6 месяцев назад

      SO AM I FROM University of Namibia 👌👌👌👌👌👌

  • @mohammedaminelm7836
    @mohammedaminelm7836 5 месяцев назад +1

    You are the best math teacher that exists!

  • @AdrianYung-oo6qf
    @AdrianYung-oo6qf 4 месяца назад +4

    I love the way you are so enthusiastic about teaching!! thank you so much for the video :)

  • @solha5751
    @solha5751 Год назад +12

    Bro you are amazing , i mean you have the talent to be a teacher bc you try to understand the students❤❤

  • @lusianelundu2702
    @lusianelundu2702 Год назад +4

    Your handwriting is dope sir and I love the way you have explained.

  • @TheMariusMan
    @TheMariusMan 4 месяца назад

    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!

  • @znhait
    @znhait Год назад +3

    best video on the subject so far.

  • @jhonnatanmontano2921
    @jhonnatanmontano2921 Месяц назад

    OMG !! You are an amazing teacher. Thank you so much 🙏
    I’ve been trying to understand this for a lot and is the first time I feel like I get it.

  • @anvarkhaydarov1236
    @anvarkhaydarov1236 2 месяца назад

    Thank you so much for the explanation. Watched bunch of other videos and yours was the simplest to understand

  • @Mahmoud-p8r
    @Mahmoud-p8r Год назад

    Even i can miss up a class,, its okay with this handful of skills, i really appreciate you.

  • @LEBOHANGSEBATA-o4k
    @LEBOHANGSEBATA-o4k 11 месяцев назад

    Your enthusiam for maths makes me like it

  • @arbenkellici3808
    @arbenkellici3808 10 месяцев назад

    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!

  • @NeuCoupAlloi
    @NeuCoupAlloi Год назад +1

    You my friend are an excellent tutor. Great job on Precise Definition of a Limit !!! Keep up the good work....sorry... Great Work.

  • @EbenezerMandala
    @EbenezerMandala 2 месяца назад

    Your videos are better enough. Thank a lot sir

  • @TinotendaMuchenge
    @TinotendaMuchenge Год назад +1

    Wooow Man u the best, i actually had a crisis in understanding this, but i just grasped it easily, The best of the Bestest

  • @samaunislam7071
    @samaunislam7071 Год назад +1

    It's Amazing. I watched many videos but after watching this video I understood the math well.

  • @josephmartos
    @josephmartos 6 месяцев назад +1

    J has to pass my Calculus I course knowing that i will fail in every question of this type. Great explanation!!! Thank you

  • @SenzeniNxasane
    @SenzeniNxasane 6 месяцев назад

    thank you very much i was really confused on this delta and epsilon proofs you just made my day,thank you sir

  • @MhamusTyfore
    @MhamusTyfore 5 дней назад

    you are a genius ,thanks for your support

  • @trendsacrossafrica
    @trendsacrossafrica 3 месяца назад

    I understood this today 😢
    You are a great teacher 👏

  • @piousmazonde5979
    @piousmazonde5979 Год назад +3

    You are a Geneous sir...Excellent in making mathematics simple ..very good in explaining

    • @PrimeNewtons
      @PrimeNewtons  Год назад +2

      I want to be a genius. It's just hard 😪 🤣

  • @NickStark-t6m
    @NickStark-t6m Год назад +2

    Damn , that's some quality teaching .

  • @mkmathstutorials6645
    @mkmathstutorials6645 Год назад +2

    Like how you explain it my brother.much appreciated.

  • @easylearing87
    @easylearing87 Год назад +1

    Bro keep uploading...Love from Bangladesh 🇧🇩

  • @epsilonxyzt
    @epsilonxyzt 3 месяца назад

    Never Stop Teaching!

  • @priyom_05
    @priyom_05 3 месяца назад

    Thank you very much sir
    ❤ From india 🇮🇳

  • @Udics
    @Udics 8 месяцев назад

    Bravissimo.
    Con te e con Robert Ghrist la matematica è un incanto.
    Grazie 😊😊

  • @mikeynavarro3195
    @mikeynavarro3195 Год назад +1

    By far best explained thankyou

  • @Abhishek-ti5er
    @Abhishek-ti5er 2 месяца назад

    Very helpful master ❤❤❤ from India.

  • @jhadhiraj147
    @jhadhiraj147 25 дней назад

    You are amazing bro! You teach math as if math is your friend and you are introducing me to him 🤣

  • @tawandadhlakama3187
    @tawandadhlakama3187 Год назад +1

    You're so talented

  • @curious_cat505
    @curious_cat505 Год назад +1

    God bless your soul. Thank you

  • @AdongaThomas
    @AdongaThomas 18 дней назад

    I like his content for sure

  • @punditgi
    @punditgi 2 года назад +6

    He does it again! Bam! QED! 😃

  • @aliana6039
    @aliana6039 2 месяца назад

    A big thank you! I love how you teach, makes me enjoy more solving hahaha.

  • @fikaduwalie6066
    @fikaduwalie6066 Год назад +3

    really exciting

  • @yohannesyebabe7923
    @yohannesyebabe7923 Год назад +10

    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-uc1yd
      @Kittu-uc1yd 5 месяцев назад +2

      Thanks a lot buddy! ✌🏻💚
      This comment deserves a lot more likes.

    • @brendawilliams8062
      @brendawilliams8062 5 месяцев назад

      Why would you need this type of math

    • @yohannesyebabe7923
      @yohannesyebabe7923 5 месяцев назад +1

      @@brendawilliams8062 It is the rigorous mathematical analysis called the epsolon delta techniques.

    • @brendawilliams8062
      @brendawilliams8062 5 месяцев назад

      @@yohannesyebabe7923 thx. , but what can you do with it

    • @yohannesyebabe7923
      @yohannesyebabe7923 5 месяцев назад

      @@brendawilliams8062 To prove mathematical theorem.

  • @ayalktube5991
    @ayalktube5991 Год назад +2

    your videos are very interesting keep going on !

  • @hqs9585
    @hqs9585 10 месяцев назад

    Great video! Thanks. It would be nice to add some graphics to bring this concept to clarity.

  • @biswambarpanda4468
    @biswambarpanda4468 8 месяцев назад

    Wonderful sir. You are wonderful..

  • @krishnashroff657
    @krishnashroff657 9 месяцев назад

    Best love from India❤

  • @levailiona3399
    @levailiona3399 Год назад +1

    THANK YOU SO SO SO MUCH YOU HELP ME A LOT A REALLY LOVE YOUR EXPLANATION

  • @leratomoetinyane
    @leratomoetinyane Год назад +1

    I finally understand this brother thanks a lot

  • @Tee0313
    @Tee0313 4 месяца назад

    Truly amazing

  • @nuesita
    @nuesita 26 дней назад

    dude you're a genius! :) tysmmm

  • @rk-ds4vl
    @rk-ds4vl 4 месяца назад

    Very good sir love from antartica

  • @Andalfulfulde
    @Andalfulfulde 11 месяцев назад

    Respect from Cameroon +237, 3:19 🎉🎉🎉

  • @masoudhabibi700
    @masoudhabibi700 Год назад +1

    Thanks for video.... epsilon and delta greater than zero is true

  • @dilshanwijemanna4898
    @dilshanwijemanna4898 3 месяца назад

    wow superb sir ❤

  • @meromoz
    @meromoz Месяц назад

    holy shit you saved my life here

  • @digbycrankshaft7572
    @digbycrankshaft7572 Год назад +7

    Because lx+6l

    • @yohannesyebabe7923
      @yohannesyebabe7923 Год назад +7

      He should replaced by 6.
      and
      He should choose delta a min {1, e/6}

  • @bangprob
    @bangprob 10 месяцев назад

    Great teacher! Thanks...

  • @KHAYMYA
    @KHAYMYA 9 месяцев назад

    AWESOME SIR YOU ARE JUST A GREAT MAN THNX A LOT SIR

  • @josephpagapong2498
    @josephpagapong2498 Год назад +1

    thank you so much sir, it really helps me a lot. And now, maybe I can answer our exam tomorrow hhahhaha

  • @OpPhilo03
    @OpPhilo03 8 месяцев назад

    Love❤ from India

  • @Arkapravo
    @Arkapravo 5 месяцев назад

    Love that t-shirt!

  • @zeusui4934
    @zeusui4934 Год назад

    Thank you so much for the very clarification🎉❤

  • @FenetAbilu
    @FenetAbilu Год назад +1

    It is good. I am lucky if you add another example.

  • @yuxinhe5987
    @yuxinhe5987 9 месяцев назад

    Man u save my life

  • @سلمانيوسف-ر5خ
    @سلمانيوسف-ر5خ 4 месяца назад

    what a nice video to watch

  • @ElishaSotuminu
    @ElishaSotuminu Год назад +1

    well taught sir

  • @trhasamare8865
    @trhasamare8865 Год назад +1

    wow u r great man

  • @bhagirathikashyap6021
    @bhagirathikashyap6021 Год назад

    Nice explanation

  • @mrsimphiwebazzano877
    @mrsimphiwebazzano877 8 месяцев назад +1

    Can you please try this problem
    Use Epsolon delta Def to show that
    Lim x-->-1.(2x+3)/(x+2)=1

  • @Forcus-zs3tu
    @Forcus-zs3tu 16 часов назад

    Thank you so much sir

  • @cristopherurrutia8591
    @cristopherurrutia8591 Год назад +1

    Thanks man, I finally got it

  • @b3ztc1ipz
    @b3ztc1ipz 2 месяца назад

    holy crap u saved me brotha

  • @tahreemrana1125
    @tahreemrana1125 Год назад

    So helpful sir amazing ❤

  • @nebaofficial3343
    @nebaofficial3343 6 месяцев назад

    Ohh you are so so good❤

  • @ramyramy9620
    @ramyramy9620 2 года назад +1

    Thanks so much 🙏

  • @AymenEndris-l1p
    @AymenEndris-l1p 5 месяцев назад

    U're genius

  • @kingsterfolokwe651
    @kingsterfolokwe651 9 месяцев назад

    great job Bosses

  • @CatherineYang-hy4ti
    @CatherineYang-hy4ti 6 месяцев назад

    Thanks help me a lot

  • @jayrum7303
    @jayrum7303 Год назад +1

    Great!

  • @Tee0313
    @Tee0313 4 месяца назад

    Love the 2+2=4 shirt

  • @adityabhagoria1374
    @adityabhagoria1374 4 месяца назад

    If not possible thank for your videos

  • @adityabhagoria1374
    @adityabhagoria1374 4 месяца назад

    Thankyou in advance

  • @TheGoatsy
    @TheGoatsy 8 месяцев назад

    Countless hours of calculus and epsilon delta videos and I still have no clue what is going on

  • @davy6255
    @davy6255 Год назад

    thank you so much!

  • @abdu_rehman3806
    @abdu_rehman3806 Год назад

    you"re bestttttttttttttttttttttttttttttttt

  • @meluwke
    @meluwke 27 дней назад

    thank you.

  • @alpmuslu3954
    @alpmuslu3954 9 месяцев назад +3

    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

  • @nigarabdullayeva7902
    @nigarabdullayeva7902 Год назад +2

    why x-6 cannot be replaced with 7? it is smaller than 8 how we replaced that?

  • @alpmuslu3954
    @alpmuslu3954 9 месяцев назад

    You are great

  • @CarenChepngeno-f6b
    @CarenChepngeno-f6b Год назад

    I love it 🎉

  • @hay-tham
    @hay-tham 8 дней назад

    thanks man