Limits of multivariable functions

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  • Опубликовано: 7 фев 2025
  • In this video, I showed how to compute the limits of some multivariable functions

Комментарии • 53

  • @hvok99
    @hvok99 Год назад +23

    You are an excellent teacher. Thank you for your clear and passionate presentation.

  • @huntern5813
    @huntern5813 Год назад +12

    fan from ethiopia, i am electrical and comp engineering student you've been helpfull very much . i hope you'll make more videos in calculus III

  • @just4simplegg428
    @just4simplegg428 7 месяцев назад +5

    I love this guy's charisma

  • @WAFBECH3
    @WAFBECH3 9 месяцев назад +1

    it became plain and simple till after i heard idea of applying the directions. thank you sir

  • @chabotakanene-ll1dk
    @chabotakanene-ll1dk 3 месяца назад +1

    The Prime Newtons, you're excellent, i love our content from you, so, this is what we should be doing, when showing those other videos, I would appreciate if a link pops onto the right upper corner of the video to each video clip shown as a reference

  • @Bradley-nj3zy
    @Bradley-nj3zy 5 месяцев назад

    I have to admit, I just love your channel

  • @itsmepratish
    @itsmepratish 9 месяцев назад +2

    best in the job never stop learning

  • @thabomandlenkhosi3224
    @thabomandlenkhosi3224 5 месяцев назад +2

    You always makes it easy

  • @MersenJaleta
    @MersenJaleta 18 дней назад

    i wish this guy were my math instructor,...from Ethiopia
    i hope this comment will find the presidant of JU

  • @kvasir3180
    @kvasir3180 Месяц назад

    I love you! You're a magnificent teacher, give me your babies!

  • @SIDDHANTCPATIL
    @SIDDHANTCPATIL 3 месяца назад

    Appreciate this video. Thanks sir ❤

  • @sbahlenontobeko5844
    @sbahlenontobeko5844 11 месяцев назад

    You're the best sir

  • @caiotorres6156
    @caiotorres6156 3 месяца назад

    amazing teaching

  • @DestinySanyangowe-y8e
    @DestinySanyangowe-y8e 3 месяца назад +1

    THANK YOU SIR CAN YOU PLIZ DO ANOTHER ONE OF EPICILON DELTA PROOF OF MULTI VARIABLE FUNCTION

  • @BlueSiege01
    @BlueSiege01 Год назад +1

    Thanks for the Videos sir!

  • @THEoneandonlystika
    @THEoneandonlystika 9 месяцев назад +3

    8:18 will help you understand

  • @ayeshaaaaa3623
    @ayeshaaaaa3623 Год назад +3

    where can i find the 2nd video?? the polar coordinates one

  • @Sofia-lh4zi
    @Sofia-lh4zi 2 месяца назад

    thank you man!!

  • @nanamacapagal8342
    @nanamacapagal8342 Год назад +3

    Question: when it comes to limits like those in the third question, how do I know which substitution to make, and how long to keep testing?

    • @pedrogarcia8706
      @pedrogarcia8706 Год назад +3

      I think you just pick a function that satisfies the point you're looking for the limit at. So in this case it would be any equation where (0,0) is a solution. Then you check multiple functions hoping that your answers are different so you can write that the limit doesn't exist. It sounds like if the functions you choose keep having the same answer, there's another method to determine whether the limit exists using polar coordinates that I'm not familiar with. Hopefully that video will come out soon!

  • @negativexfinity6778
    @negativexfinity6778 4 месяца назад

    Good stuff

  • @BUEY414
    @BUEY414 2 месяца назад

    Can you do a tutorial on epsilon delta proofs with multivariable limits?

  • @petelok9969
    @petelok9969 9 месяцев назад

    Hi, do you have a link to the puzzle thing you mentioned at 3:27? Best Wishes Peter

  • @nadkhaa8360
    @nadkhaa8360 Год назад +1

    u r second to none.

  • @SazisoVilakazi
    @SazisoVilakazi 8 месяцев назад

    great video

  • @aguyontheinternet8436
    @aguyontheinternet8436 Год назад +3

    when limx=limy=n, why wouldn't it make sense to make x=y, since they both approach the same value in the limit?

    • @Lilliana1
      @Lilliana1 Год назад +1

      We are talking about if it will approach the limit. We are checking that not the other way around

  • @tinotendalearnmore4014
    @tinotendalearnmore4014 11 месяцев назад

    He’s the goat

  • @wbell539
    @wbell539 Год назад +1

    Wish I had seen this about 60 years ago!

  • @BP-me7lj
    @BP-me7lj 9 месяцев назад

    why did you not take this path method in question 2?

  • @twarisaninyoni-pf7sk
    @twarisaninyoni-pf7sk 11 месяцев назад

    When we factor out y^2 in the denominator aren't we supposed to get y^3 instead of y^4?

  • @krishnasimha8097
    @krishnasimha8097 5 месяцев назад

    for a generalised answer keep y =mx^3 and u can see that limit doesnt depend on x or y

  • @FaceysFitnessJourney
    @FaceysFitnessJourney 2 месяца назад

  • @nonentity168
    @nonentity168 11 месяцев назад

    Great tutorial

  • @DeepCoder786
    @DeepCoder786 9 месяцев назад

    Sir you put 0^6=1 But it return zero in Chat gpt

  • @TheEvilHacker1997
    @TheEvilHacker1997 Год назад +2

    Or you could just use l'Hôpital 6:15 and be done in 7 steps

    • @wwbbcg01
      @wwbbcg01 Год назад +3

      L'Hospital's Rule only works on single variable functions.

    • @TheEvilHacker1997
      @TheEvilHacker1997 Год назад

      ​@@wwbbcg01The variables are the same number

  • @thenovalabs
    @thenovalabs Год назад

    Thanks

  • @colina64
    @colina64 Год назад

    THANKS

  • @CharashGanja
    @CharashGanja Год назад +4

    i think you should give us a example like the third example but limit exists there

  • @Folorunsho3729
    @Folorunsho3729 Год назад

    Only if I could get a sure physics plug like this too😫

  • @ubidubium5806
    @ubidubium5806 Год назад +10

    in the 3rd problem, let's have y = x and see what happens.

    • @deespace3744
      @deespace3744 10 месяцев назад +1

      he has already considered that case

    • @Salamanca-joro
      @Salamanca-joro 9 месяцев назад

      Yeah that's what i did and I got 1/x^2 which is 0 at the end so the limit is 0 I guess

    • @hipepleful
      @hipepleful 3 месяца назад

      If you were making a joke, i loved it.

  • @heathjokerledger101
    @heathjokerledger101 Год назад +2

    How to use L' hopital's rule here ?

    • @JPL454
      @JPL454 9 месяцев назад +1

      You don't

  • @dretrotbeats3961
    @dretrotbeats3961 3 месяца назад

    uli bho ngat iron monkey watiiika mtika.🤪🤪🤪

  • @samuelfemi2227
    @samuelfemi2227 7 месяцев назад

    Why can't we use l'hopitals rule?

    • @Natolino83
      @Natolino83 6 месяцев назад

      L'hõpital's rule is only defined when we're working with only one variable (and some other conditions).