Precise Definition of a Limit - Understanding the Definition

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  • Опубліковано 4 жов 2024

КОМЕНТАРІ • 371

  • @MariamMansour-i7f
    @MariamMansour-i7f 25 днів тому +9

    This is literally a life saver. I had a 2 hour lecture that sounded like literal gibberish to me, and you beautifully explained it in a couple minutes.

  • @paolorodriguez2640
    @paolorodriguez2640 5 років тому +417

    He's right it's not that hard, it's just you thinking it is hard, a litle advice: if you're studying mathematics you really need to focus on it, remember that the brain cannot focus on two or more things at a time, so say you're studying a concept while thinking it is hard at the same time, you won't get any progress my friend, just focus on the concept nothing more. This is from my own experience :)

  • @conflicted0076
    @conflicted0076 Рік тому +50

    I have a calculus exam tomorrow, i may fail. But finally being able to understand this gave me some comfort. Pray for me y'all!

    • @thebestking4615
      @thebestking4615 Рік тому +3

      Hey, one month late but hope you did well

    • @mattkelley9110
      @mattkelley9110 11 місяців тому +2

      How was it?

    • @animalworld3759
      @animalworld3759 3 дні тому

      A year after im in the same situation now guys, i have it in a couple of hours, pray for me ❤

  • @jennylim02
    @jennylim02 6 років тому +244

    I absolutely do not understand why there are 12 dislikes, I mean you really changed my life. As an UCSD math student you helped me went through my lower math courses, can't believe that you are still here when I need help for my upper level math class, bless you with all my heart.

    • @jehieljoseph1220
      @jehieljoseph1220 5 років тому +32

      Those dislikes are maths professors 😂

    • @nikhilbalwani5556
      @nikhilbalwani5556 4 роки тому

      go*

    • @-danR
      @-danR 4 роки тому +15

      The dislikes likely have nothing to do whether he helped _you_ get through your courses, but from people who are still perplexed by the delta-epsilon definition of a limit. His verbiage is not particularly different from other aids to helping understand the definition, but simply saying "so what/all this is 'really' saying", does not help grasp the wording of the definition proper.
      [for the record, I didn't downvote the video. I'm not into such spiteful nonsense.]
      And when he expresses doubt concerning the claim that you really can't understand the definition until graduate studies, he is rubbing salt into the wounds of people who come through this video expecting to finally understand it.
      I'm not interested in his graph. I've seen those 'helpful' demonstrations before. I _do_ know intuitively at this point "what the definition is trying to say". What is lacking in people is the ability to parse the language of mathematics in real time, and I'm afraid that skill is akin to sight-reading a new concerto at the piano; and at the highest levels, read the score in an armchair and _hear_ the violins, horns, woodwinds in your mind.

    • @Trynnagetmydegree__
      @Trynnagetmydegree__ 3 роки тому +1

      i agree and I wish I accepted my acceptance letter to UCSD :(

    • @adude4524
      @adude4524 3 роки тому +5

      @@-danR can you use the limit of a function to find where i asked?

  • @R3nxt
    @R3nxt 4 роки тому +67

    “You tell me how close you want to be on the y axis, and I tell you how close you need to be in the x axis. If that is possible, then we say the limit exists.”

  • @prathameshjoshi2539
    @prathameshjoshi2539 9 років тому +237

    patrickJMT is love, patrickJMT is life

  • @cataclysmicbane9068
    @cataclysmicbane9068 5 років тому +52

    When I graduate and start my career I'm going straight to patreon and giving you the biggest donation ever!

    • @christianleyva3166
      @christianleyva3166 6 місяців тому +2

      how did it go, did you graduate?

    • @cataclysmicbane9068
      @cataclysmicbane9068 6 місяців тому

      @@christianleyva3166 believe it or not I graduate on May 20th! I’m finishing up my final semester right now. Thanks for keeping me accountable for something I said so long ago. I will follow through!

    • @cataclysmicbane9068
      @cataclysmicbane9068 6 місяців тому

      @@christianleyva3166 I will be graduating this May actually! Almost there. And I will fulfill my promise.

    • @CarlosSanchez-wn8gr
      @CarlosSanchez-wn8gr 4 місяці тому

      Did you graduate ?

    • @alergames147
      @alergames147 29 днів тому

      Did you graduate?

  • @amanimotloung796
    @amanimotloung796 4 роки тому +19

    You’re honestly the best. I wish I could take all my school fees and just give it to you because you make me understand much more in a video than my teacher can in a week

  • @blessinggorengecho3973
    @blessinggorengecho3973 8 років тому +43

    I no longer go for lectures. ever since i discovered the legend...patrickjmt!!

  • @sophita_
    @sophita_ 9 років тому +55

    Thanks for the video :) I didn't really understand the definition of a limit before, I just memorised it

    • @patrickjmt
      @patrickjmt  9 років тому +16

      +Sophie Grace you and me both! :)

    • @-danR
      @-danR 4 роки тому +2

      @@patrickjmt
      0:46

    • @metawhirl4609
      @metawhirl4609 4 роки тому

      @@-danR I am studying with this book too. Same here bud

  • @vijayisbrown
    @vijayisbrown 8 років тому +104

    i wish you were my math professor.

  • @ZuhaaFatima-gw7mj
    @ZuhaaFatima-gw7mj 11 місяців тому +2

    finally found a UA-camr who can teach calculus in simple words 🎉

  • @darbaram4303
    @darbaram4303 3 роки тому +2

    THANK YOU!
    idk why my professor started teaching the entire concept of limits by throwing the definition at me but you just saved me so many tears

  • @Jonathanjumps
    @Jonathanjumps Рік тому +2

    10/10. I read through my textbook, and all of the resources my instructor provided and got nothing but this really put it all together in words I could understand!

  • @screamingisbeter
    @screamingisbeter 8 років тому +75

    Great explanation. I bought a supplemental calculus book which omitted this section because it's based on "high level mathematics." Think people underestimate our ability to learn sometimes. Will definitely be supporting your videos!

    • @patrickjmt
      @patrickjmt  8 років тому +4

      thanks! glad i could help!

    • @projectjt3149
      @projectjt3149 5 років тому +3

      Dude, don't even get me started with how most colleges omit the proof for Euler's identity

  • @hayden6700
    @hayden6700 Місяць тому

    Never seen this concept explained so well, thank you

  • @xrees
    @xrees 2 роки тому

    My man... you have a way with words... best video ever. Thank u

  • @ryankbr
    @ryankbr 4 роки тому +7

    Brilliant video! This helped demystify epsilon delta proofs so much for me!

  • @didar-dissectingecon5976
    @didar-dissectingecon5976 2 роки тому +2

    It’s by far the easiest explanation of this definition. Thankful to you!

  • @RozzanaRose
    @RozzanaRose 6 років тому +4

    This is a massive help! My professor is used to teaching grad level calculus, so he gets easily frustrated with us even though it's the entry class 😅

  • @catherineferris4379
    @catherineferris4379 5 років тому +11

    LOVE LOVE LOVE your videos!!! I am a math tutor myself so I felt discouraged when I did not understand this topic, but you made it sound so much easier!!!! THANK YOU PATRICKJMT!!

  • @josonkimmargarethp.5651
    @josonkimmargarethp.5651 7 місяців тому

    U LITERALLY JUST SAVED ME FROM BREAKING DOWN. GOD BLESS

  • @mariambobat
    @mariambobat 7 років тому +2

    Patrick. You are awesome. Understood this definition after a year. I wish you could make real analysis videos. Such explanations are very clear. Your teaching style is unmatched. Thank you!

  • @LGND-ry6dk
    @LGND-ry6dk 2 роки тому +1

    6 years later and you’re still helping poor confused college students. thank you for your service brother

  • @ChefFarisMom3
    @ChefFarisMom3 2 роки тому +3

    You made the whole concept clear to me ... My teacher should learn from you 👍👍👍

  • @kaleabdereje-m4y
    @kaleabdereje-m4y Місяць тому

    haven't seen anyone on this platform that teaches as good as you

  • @lulabelr-s5697
    @lulabelr-s5697 6 років тому +3

    I watched this video to help with honors real analysis at Stanford University this is def the best video on this subject thank you so much you're amazing

  • @ajanjua9924
    @ajanjua9924 2 роки тому

    Man i didnt understand this since last 2 weeks.This video helped me alot understanding ....thanks👌

  • @ThaoNguyen-yb6xq
    @ThaoNguyen-yb6xq 8 місяців тому

    Yes you should be impressed with your self. Thank you for this!

  • @avatarthelaststeambender8565
    @avatarthelaststeambender8565 3 роки тому +2

    Thank you for explaining the variables epsilon and delta in simple way. Now I know that epsilon correlates to the limit (L) on the y-axis and delta correlates to the x value it is approaching (c) on the x-axis! I hope you have a nice day!

  • @saulcoria8679
    @saulcoria8679 7 років тому +9

    This actually really helped me! Thank you so much! I tried to learn from watching Sal from Khan University but it just wouldnt click.
    You are a much better teacher, thanks again! :)

  • @PaingPaing-li5cj
    @PaingPaing-li5cj 8 місяців тому

    I know that this video was posted 8 years ago, but I want to say thank you for this video helps me a lot.

  • @basicnpcc
    @basicnpcc 8 років тому +6

    Thanks mate! This made perfect sense. Props for teaching it in such a way that you encapsulated the definition into pieces that actually make sense to the average person.

  • @Tony-nl6pf
    @Tony-nl6pf 5 років тому +2

    Thank you. I'm taking calculus online and you helped a lot.

  • @msfreya777
    @msfreya777 5 місяців тому

    You are an amazing teacher, I got the intuitive idea.

  • @姜芃越
    @姜芃越 4 роки тому +1

    It's intuitive while still maintaining the rigor, thank you!

  • @bbtishia1
    @bbtishia1 4 роки тому +1

    Thank you so much for the explanation!! I was reading it in the book and had no idea what it was talking about! Thanks to your video, I understand it better!!

  • @alessandropietro3285
    @alessandropietro3285 3 роки тому

    After two days of trying different materials & feeling an idiot, you have finally let me understand this definition. You clarity is just impressive. A huge, huge thank you from sunny Italy!

    • @patrickjmt
      @patrickjmt  3 роки тому +1

      thanks so much for the kind words! was able to visit italy once, briefly, 10 years ago. hope to make it back there one day. some of the best food i ever had was while there!

  • @phantom_drone
    @phantom_drone 3 роки тому

    I am starting to understand this. Thank you!!!!

  • @Sen-hr8qv
    @Sen-hr8qv 6 років тому +6

    Oh my god. This makes so much more sense now! I was so confused with that intimidating definition but you broke it down to its core and really cleared things up for me! Thank you!

  • @lumiere4460
    @lumiere4460 5 років тому

    *Mind Blown Gif* This video really just blew the lid off the case for me. Things are so clear now.

  • @TheEmilysvergara
    @TheEmilysvergara 5 років тому +1

    YOU MAKES THIS SO EASY FOR ME TO UNDERSTAND THANK YOU!!❤

  • @derekmcanally11
    @derekmcanally11 8 років тому +325

    For my Calculus kids watching this: a is the same thing as c.

  • @MetalAsBalls
    @MetalAsBalls 6 років тому

    You make magic out of red and black sharpies on white paper! Your lectures become so simple and intriguing!

  • @jeromeambaliza8133
    @jeromeambaliza8133 3 роки тому

    Thank you for this very helpful tutorial.

  • @mattm4162
    @mattm4162 5 років тому

    You're actually amazing, I can't understand what the hell my calculus professor is talking about for 2 weeks, and I come here, watch this video twice, and understand just fine, THANK YOU!

    • @patrickjmt
      @patrickjmt  5 років тому +1

      happy that i could help you :)

  • @tumak1
    @tumak1 2 роки тому

    Excellent presentation! Kudos to you. Cheers

  • @devarapallivamsi2981
    @devarapallivamsi2981 2 роки тому

    thank you sir...!!m i was really searching for this.. for a long time..!!!!!!!!!!!!!

  • @azyle2104
    @azyle2104 4 роки тому

    Got it in the first watch , you're brilliant .

  • @MANOinTECHNICOLOUR
    @MANOinTECHNICOLOUR 7 років тому

    I've been watching your videos for a few years now. I would not have passed any of my classes without you. You're the best teacher I have ever had. Thank you so much Patrick.

  • @roopaalmeida7958
    @roopaalmeida7958 8 років тому

    I appreciate your heart to teach it in a simple way

  • @ziggy8757
    @ziggy8757 4 роки тому

    perfect explanation.. got it instantly

  • @BB-yg4fp
    @BB-yg4fp 9 місяців тому

    Getting ready for a grad program where I need Calc I as a pre-req, never took calculus before so I'm using Udemy to bridge the gap, and you just saved me after being baffled by a couple components. Thank you!

  • @Alexis.j3nni
    @Alexis.j3nni 4 роки тому +1

    Thank youuu you’re the besttt

  • @tumusiimebrian3745
    @tumusiimebrian3745 3 роки тому

    Thank you so much Patrick

  • @daniellejdevlin8882
    @daniellejdevlin8882 Рік тому

    This video REALLY helped me! Thanks so much for posting this.

  • @rendi1555
    @rendi1555 6 років тому

    Thank you, I've realized what limit is mean only watching your videos . Thank you again for your usefull explanations

  • @denisholi2705
    @denisholi2705 2 роки тому

    Awesome man. I also was stuck on that. And when I see your explanation it got all clear..

  • @evanflynn9956
    @evanflynn9956 3 роки тому

    Thank You!!! This is definitely the best video explaining this concept

  • @ramachandraraonanduri4043
    @ramachandraraonanduri4043 4 роки тому

    I really love the way he explains it

  • @ecemteknik3750
    @ecemteknik3750 4 роки тому

    thank you so much!!!! i was really confused after my first calculus 1 class then i found that video. NOW I UNDERSTAND IT!

  • @mittens3claire
    @mittens3claire 7 років тому

    THANKYOU SO MUCH!!! just saved me on my calc test tomorrow!!

  • @lungilesithole6143
    @lungilesithole6143 8 років тому

    You're amazing @patrickJMT . You're help is a major contribution to my studies and for that I thank you. Keep it up

  • @amy_muk
    @amy_muk 4 роки тому

    Thank you for this! So relieved to finally be understanding this after about 6 weeks!

  • @mmgm868
    @mmgm868 6 років тому

    Thanks a thousand times
    I was struggling on this topic.
    Thanks once again

  • @shahadalenezi2548
    @shahadalenezi2548 3 роки тому

    Thank you thank you thank you ❤️ watching you from Kuwait 🙏🏻

  • @marinafileva8953
    @marinafileva8953 8 років тому +3

    So great at explaining, wish you were my professor!

  • @maribelruiz9683
    @maribelruiz9683 7 років тому

    MADE PERFECT SENSE! thank you thank you thank you Patrick

  • @eyoeldiress7852
    @eyoeldiress7852 7 років тому

    this video literally saved my life.keep doing your thing; i really like your videos.

  • @Htwolg02
    @Htwolg02 9 років тому +1

    Thank you for the video! This is the section we are working on in Calc 1 and you cleared it up so well. Keep doing these!

    • @patrickjmt
      @patrickjmt  9 років тому +5

      Perfect, glad it helped. It is a confusing topic when you first see it so I was not sure if the video would clear anything up or not!

    • @UAa320
      @UAa320 9 років тому

      +patrickJMT thanks Patrick your videos have always helped me, especially now that I am taking calc 1 this definition of a limit concept had me confused. But with your video it makes sense now.

  • @ysz7423
    @ysz7423 3 роки тому

    Covered 2 of my math class, combined is 100 minutes and made perfect sense, which for some reason my math teacher just can not get this thing straight. Thank you

  • @tharindugamage3467
    @tharindugamage3467 2 роки тому

    This is so helpfull. Thank you so much to Distribute your knoledge to us😀😀

  • @Soccerforlife_10
    @Soccerforlife_10 Рік тому

    Great job. I got it. Very well explained! Be proud of yourself. Gonna send you 3 cents a day!

  • @Leobird03
    @Leobird03 Рік тому +1

    you are a lifesaver

  • @andrewkina9611
    @andrewkina9611 7 років тому +1

    You are awesome parrickJMT!!! Got a lot of help from your videos!

  • @aguirretrinidadenrique1372
    @aguirretrinidadenrique1372 6 років тому

    You're amazing! Thanks bro! I don't understand the Spanish videos and I found one of your videos and they're really good! You were my last opportunity

  • @erikeriksen1617
    @erikeriksen1617 8 років тому +2

    At 8:15 really helpful to me, and therefore maybe to you, around the time where he starts the sentence with: "and thats the whole point....."

  • @wongamzamo8232
    @wongamzamo8232 4 роки тому

    Man you're a legend , thanks for simplicity!

  • @绯橘衣-s8g
    @绯橘衣-s8g 8 років тому +2

    Thanks for the video :) it really helps me to understand what im learning currently.

    • @patrickjmt
      @patrickjmt  8 років тому +2

      glad it helped!

    • @绯橘衣-s8g
      @绯橘衣-s8g 8 років тому

      i have some difficulty of some questions but i dont know which video of yours i should watch to solve the question... could u tell me how to message

  • @1829Emily
    @1829Emily 4 роки тому

    Thank you for this video! it made the concept so much clearer. all those symbols make it look harder than it is

    • @patrickjmt
      @patrickjmt  4 роки тому +1

      it is a bit confusing for most everyone when they first encounter it. it definitely is not mechanical and takes some 'thinking about' to understand.

  • @ritikchail7330
    @ritikchail7330 5 років тому

    Very well explained with the use of graphs

  • @tark3822
    @tark3822 2 роки тому

    got it on first watch. Thanks

  • @yeboahphilip8114
    @yeboahphilip8114 5 років тому

    best tutor ever..well done sir

  • @sheruloves9190
    @sheruloves9190 6 років тому

    U explained it so differently, gr8. Thank you

  • @loquatrose2010
    @loquatrose2010 5 років тому

    You are a legend! Thank you for making these videos.

  • @neilgomes6308
    @neilgomes6308 Рік тому

    bless your soul. taking calc 1 at UMD rn

  • @Min-nx4ti
    @Min-nx4ti 2 роки тому

    why can this be explained this way in university i mean this is GOLD.

  • @gauranshbaveja335
    @gauranshbaveja335 3 роки тому

    Thanks man. This is so well-explained!!!

  • @MedYasserLarousi
    @MedYasserLarousi Рік тому

    Clearly explained ✨

  • @valadier3348
    @valadier3348 3 роки тому

    Great explanation

  • @kobeprior4448
    @kobeprior4448 4 роки тому

    This video helped a lot thank you

  • @silversharky3258
    @silversharky3258 5 років тому

    Dude u r a lifesaver....hats off... would really appreciate if you could do a series on Real Analysis 😊😊

  • @ianmoseley9910
    @ianmoseley9910 10 місяців тому

    Presenting it as a definition has helped me - when it was presented as a proof I had trouble with it. -

  • @markkaradimos9482
    @markkaradimos9482 4 роки тому

    Thanks! I'll check out your videos on how to use this definition to determine limits of various functions.

  • @amrutha425
    @amrutha425 4 роки тому

    this video saved my life in 11 min omg

  • @scummybabyelephant6094
    @scummybabyelephant6094 4 роки тому

    This is explained SO well like OMG !!!! Thanks you soooo much❤️❤️❤️❤️ I hope your quarantine is going well

    • @patrickjmt
      @patrickjmt  4 роки тому

      glad you like it! quarantine is a bit boring but not so bad overall :)

  • @TheEsteemedSirScrub
    @TheEsteemedSirScrub 9 років тому

    Wow! Fantastic explanation! I totally got it!

  • @Oceanray7629
    @Oceanray7629 4 роки тому

    i understood this, thanks mate

  • @jzmina
    @jzmina 7 років тому

    I watched your video after trying Khan academy. Yours honestly helped me out way more. Definitely using your videos in Calculus next semester. Thanks! ^-^

  • @vaibhavbhandari8661
    @vaibhavbhandari8661 5 років тому

    an actual legend amongst us