The BEST explanation of Limits and Continuity!

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  • čas přidán 6. 07. 2010
  • Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006.Enjoy!

Komentáře • 527

  • @pepsico815
    @pepsico815 Před 8 lety +781

    Why don't professors explain stuff like this? I pay ridiculous tuition just to come home and watch youtube lectures instead.

    • @dinaoom977
      @dinaoom977 Před 8 lety +77

      +Austin Texas we pay all this money to get a piece of paper from the university saying we did the work

    • @nw3877
      @nw3877 Před 8 lety +21

      They think we know already . LoL

    • @ericmanso966
      @ericmanso966 Před 8 lety +31

      Yah and then when we get to higher level course , they look at us and say "u were suppose to learn this in cal 1".....

    • @mr_underscore5320
      @mr_underscore5320 Před 7 lety +19

      Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.

    • @halloom
      @halloom Před 7 lety +4

      yeah ...... very

  • @russianassassain
    @russianassassain Před 12 lety +30

    I love it when he says: "what does that actually mean," and explains it...soooo much clearer

  • @snehasaha3120
    @snehasaha3120 Před 7 lety +62

    i really don't understand why teachers explan things in a boring way instead making it interesting like this guy did...thanks

  • @Elle1577
    @Elle1577 Před 8 lety +180

    Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!

    • @aniketghosh6993
      @aniketghosh6993 Před 7 lety +4

      It takes minutes understand regardless of who teaches.It is extremely easy.

    • @Ash17Goswami
      @Ash17Goswami Před 6 lety +4

      Musti lmao

    • @SteakAndMusic
      @SteakAndMusic Před 5 lety +14

      Aniket Ghosh Apparantly it wasnt very easy for you if youre on this video

  • @haleykoontz9870
    @haleykoontz9870 Před 10 lety +33

    SO clear! thank you!!! I wish i would have seen this back in January when class started...

  • @Celestial-Pickle
    @Celestial-Pickle Před 5 lety +26

    I feel like I have just been hit by a bolt of Noetic lightning. Thank you!

  • @nathanielm77
    @nathanielm77 Před 2 lety +4

    It actually makes sense now

  • @ditya3548
    @ditya3548 Před 2 lety +2

    What!! This truly is a good explanation. Thank you!

  • @naamathanna7985
    @naamathanna7985 Před rokem +2

    Love your explanation. You made it easy and clear.

  • @FarFromStandard
    @FarFromStandard  Před 13 lety +11

    @blueovaltrucks Thanks!
    g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!

  • @juliemarie773
    @juliemarie773 Před 11 lety +4

    I just understood this so much better. you taught me in 7 mins what my teacher failed to do in a week THANKS SO MUCH

  • @antonioc1545
    @antonioc1545 Před 10 lety +21

    a faithful title of the video.

  • @val71999
    @val71999 Před 5 lety +4

    i learned more in this video than i did in a month of ap calculus. WHAT.
    instant sub

  • @xaviergonzalez5828
    @xaviergonzalez5828 Před 2 lety +2

    Best explanation ever! Thank you Sir!

  • @drowningflamingo
    @drowningflamingo Před 10 lety +1

    Coming back to this video as I start calc b because I remember how much help this was in part a. Very helpful, thank you!

  • @HackPuppet032
    @HackPuppet032 Před 11 lety +3

    They say a person really knows a subject when he can explain it clearly, and you sir know this stuff! thanks for your help

  • @quilg
    @quilg Před 3 lety +7

    I got more information in 7 minutes, than my professor explained me in 3 hours

  • @shannonoconnor517
    @shannonoconnor517 Před 9 lety +2

    I really appreciate you taking the time to make this. Thank you!

  • @dijonstreak
    @dijonstreak Před 2 lety +2

    Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!

  • @alexmercer3690
    @alexmercer3690 Před 9 lety +5

    it IS the best explanation of limits and continuity. Thanks.

  • @emperorza5777
    @emperorza5777 Před 3 lety +2

    You did a fantastic job!! Thank you man, I will definitely be checking out more of your videos!

  • @LeonardoTranninAzeredo
    @LeonardoTranninAzeredo Před 6 lety +3

    Why did you stop making videos?
    This is the best video I've seen regarding this subject!
    Thank you for your help!

  • @Mackattack2294
    @Mackattack2294 Před 12 lety +2

    Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks

  • @SableLoA
    @SableLoA Před 12 lety +2

    This was so helpful. Taking a six week course on calculus 1, it goes so quick, the simplified explanations are much appreciated!

  • @andydeleon3450
    @andydeleon3450 Před 6 lety +2

    THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now

  • @kunalpanchal7751
    @kunalpanchal7751 Před 6 lety +2

    This guy is awesome.. God level teacher..😀😀 Loved it man,simply exploded my mind by clearing my concept..

  • @jaredjohnson4318
    @jaredjohnson4318 Před 8 lety +2

    Thank you for the explanation. I was lost before this video.

  • @sammiemyboo
    @sammiemyboo Před 12 lety +1

    Extremely good video! FarFromStandard is saving lives one video at a time!

  • @terisablair
    @terisablair Před 12 lety +1

    That was a great explanation! I feel I like I am starting to grasp the limit concept! Thanks so much!

  • @Money_Man55
    @Money_Man55 Před 3 lety +2

    ill be honest, the video lives up to its title

  • @user-ot7fx9uf5u
    @user-ot7fx9uf5u Před 4 lety +1

    you should tell about continuity more than you did it in this video! Next time i want to see more examples
    Thanks !!!

  • @redchulvo5400
    @redchulvo5400 Před 8 lety +3

    Thanks a lot! Very easy to understand! Cool dude!

  • @towsifbillah834
    @towsifbillah834 Před rokem +1

    Im glad that I come here after 12 years

  • @MarelynLovesSmith13
    @MarelynLovesSmith13 Před 8 lety +5

    Thank you! This helped me get through my AP Calc hw!

  • @femiairboy94
    @femiairboy94 Před 12 lety

    the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!

  • @FarFromStandard
    @FarFromStandard  Před 13 lety +1

    @hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!

  • @nabhgosal6705
    @nabhgosal6705 Před 6 lety +1

    i actually learned something from this lol . good work

  • @amodhmandloi6561
    @amodhmandloi6561 Před 8 lety +1

    well thank you for this video...........this really helped very much.........thats fucking awesome when we find an indian guy teaching the whole world

  • @RealSlopeDude
    @RealSlopeDude Před 10 lety +1

    Great video. We watched it in class and my students caught the slight mistake at the beginning and actually helped engage the class. Thanks.

  • @kalebrinehart3456
    @kalebrinehart3456 Před 7 lety +1

    This is the best explanation I've ever seen!

  • @khalolyyan7971
    @khalolyyan7971 Před 2 lety +2

    You’re watching a master at work

  • @Nick-yn3yt
    @Nick-yn3yt Před 8 lety +3

    Wow What a amazing video HE just explained the limit in just 7 minutes
    I understand it very easily

  • @AliHussain-pd9lq
    @AliHussain-pd9lq Před 7 lety +8

    It's really easy to understand such tough concept of limit by u sir....thanks alot. upload more videos of class BSC mathematics. so that it will be easier for me to understand any concept in the blink of an eye.

  • @ronalds271
    @ronalds271 Před 4 lety +5

    You have a gift from God to teach.

  • @aqualust5016
    @aqualust5016 Před 3 lety +1

    You mean to tell me I didn’t understand limits because I could not comprehend the concept that:
    1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function
    And
    2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side
    Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.

  • @loveapix
    @loveapix Před 12 lety +2

    OOH MY GOODNESS. THIS HELPS SO MUCH. I LOVE THIS T-T

  • @TheWinonaJohnson
    @TheWinonaJohnson Před 3 lety +1

    Thank you for this video! I found it super helpful.

  • @rittproductions
    @rittproductions Před 9 lety +2

    With thee AP exam tomorrow, and my teacher's blog not helping, this was very useful

  • @guilhermedias2003
    @guilhermedias2003 Před 3 lety +1

    I am here 1 decade later just to THANK YOU

  • @arthurgeorgeokonkwo5510

    thank you very much, you pretty much explained the whole idea behind continuity.

  • @MultiRayad
    @MultiRayad Před 12 lety

    first time I actually learned something in calculus...THANX for the help!!

  • @Juoa794
    @Juoa794 Před 6 lety +1

    Hey, thanks for the great video! Question: can we really affirm that the limit exists whenever the function is continuous, considering the cases when it goes to infinity and cases such as y = sin(1/x) ?

  • @hl0153
    @hl0153 Před 6 lety +1

    THIS DUDE JUST SAVED ME MY SCHOOL DOES NOTHING

  • @wenwenwang966
    @wenwenwang966 Před 5 lety +2

    You are a literal blessing

  • @xsheisthesunx
    @xsheisthesunx Před 12 lety

    This is a great video, keep up the good work! Calculus is terrific.

  • @tombombadil3953
    @tombombadil3953 Před rokem +3

    Wow ❤️ you explain so clearly

  • @leinahtan25
    @leinahtan25 Před 12 lety +2

    Thanks Kevin G! Good to see the Mathletes paid off!

  • @JohnCarter95
    @JohnCarter95 Před 10 lety +3

    Man I wish I'd seen this before my test :(

  • @acdonn
    @acdonn Před 10 lety +30

    this Indian is a math disciple.

  • @willstewart6393
    @willstewart6393 Před 10 lety

    This was extremely helpful! I am going to use your videos for my summer AP Calc. assignment.

  • @darondrayton9425
    @darondrayton9425 Před 8 lety

    This video was great, keep up the good work...💪💪💪

  • @crewser004
    @crewser004 Před 8 lety

    Nice vid dude...thanks for the explanation!

  • @irenex1790
    @irenex1790 Před 9 lety +1

    Very helpful! Thank you so much!

  • @cheryyyim
    @cheryyyim Před 13 lety +1

    wow... this lecture is so much helpful!! :D thank you so much!

  • @dragonthai1678
    @dragonthai1678 Před 8 lety +7

    same ima teach this to my class and I will become the GOD of my CLACULUS CLASS......what am I doing with my life

  • @forozanhajian7230
    @forozanhajian7230 Před 12 lety

    OMG! THANK YOU SO MUCH! I UNDERSTAND THE LIMITS WONDERFULLY NOW!

  • @merrnaibrahim6547
    @merrnaibrahim6547 Před 5 lety +2

    this man is a legend. what my teacher explained in 45 min he could do it in 7 min and this time i actually understood

  • @jay22197
    @jay22197 Před 2 lety +2

    OMG thank you, you have no idea what you have done

  • @muhammadzulfaiz3255
    @muhammadzulfaiz3255 Před 3 lety +2

    Thank you so much bro. I very appreciate it.

  • @FarFromStandard
    @FarFromStandard  Před 12 lety +1

    @blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole

  • @screenflicker1
    @screenflicker1 Před 12 lety

    Hey bro, great explanation. Better than any teachers have ever taught me!

  • @brookemccann9213
    @brookemccann9213 Před 6 lety +1

    This helped so much, thank you!!!!!

  • @matthewwroblewski8752
    @matthewwroblewski8752 Před 10 lety

    Great lecture. Posted this in my calc. discussion forum!

  • @IDLMidolovemusic
    @IDLMidolovemusic Před 13 lety +1

    thanks a lot!!!!!!!!!it really helped me out!!! thnx again :)

  • @SwaggTasticTran
    @SwaggTasticTran Před 11 lety

    Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.

  • @aquaristic
    @aquaristic Před 12 lety

    Thank you for the video, its helped me in my battle to understand calculus.

  • @nimrod2330
    @nimrod2330 Před 11 lety +1

    Thanks indeed. thats was just what i needed :)

  • @journey994
    @journey994 Před 11 lety +1

    extremely good tutorial! thank you

  • @kalyanigorti3913
    @kalyanigorti3913 Před 5 lety +3

    simple & easy way of explaining. Thanks

    • @skilledindia8604
      @skilledindia8604 Před 5 lety

      Pls also visit "er vishal sir" channel he is also great

  • @TemplatesNstuff
    @TemplatesNstuff Před 12 lety

    thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!

  • @HannahNimo
    @HannahNimo Před 11 lety +1

    SOOOOO HELPFUL! Thank you :)

  • @AmandaVF1
    @AmandaVF1 Před 8 lety

    This.... has helped me understand what I have been trying to figure out for 2 days. Thank. you.

    • @eatshrots
      @eatshrots Před 7 lety

      hey Amanda, I'm also working on this and I'm breaking my head over it. Could we chat somehow and see if you could explain some things to me?

    • @thearcanearcade4923
      @thearcanearcade4923 Před 7 lety +1

      Someone's tryin to get laid. Just my 2 cents

    • @DeathscreamerS0S
      @DeathscreamerS0S Před 7 lety

      hahahhahah

  • @JGR295
    @JGR295 Před 12 lety +1

    Thank you very much, this was really helpful.

  • @dalis001
    @dalis001 Před 12 lety +1

    i finally understand limit thank you so much

  • @Eldon1522
    @Eldon1522 Před 12 lety

    Great video. Clear and understandable. Keep it up.

  • @IeyFaH94
    @IeyFaH94 Před 11 lety

    really help me to undrstand about limit and continuity.. keep up the gud work! :)

  • @Sincerely.Nature
    @Sincerely.Nature Před 2 lety +2

    Thanks! This helped a lot!

  • @janvanbiljon1722
    @janvanbiljon1722 Před 10 lety

    Thanks so much. Embarrassed that I didn't understand this earlier -.-

  • @td-po5ik
    @td-po5ik Před 12 lety

    thanks for the great lesson !

  • @liliankabelle6943
    @liliankabelle6943 Před 11 lety

    Great and precise explanation!!

  • @TequalHC
    @TequalHC Před rokem +1

    Meanwhile my professor just does the work with no reasoning. The asks reasoning when we do homework.

  • @Chuthuluku
    @Chuthuluku Před 13 lety

    So much better at teaching than my math teacher!

  • @amirlamzah4633
    @amirlamzah4633 Před 10 lety +2

    Thank you.. really appreciate it

  • @Sven123ful
    @Sven123ful Před 11 lety

    Man, this is really helpful. Thaanks

  • @NguyenTran-py8bk
    @NguyenTran-py8bk Před 9 lety

    Like your style, dude!

  • @sevdas3787
    @sevdas3787 Před 10 lety

    simple and great explenation about limits. Thanks !

  • @LAnonHubbard
    @LAnonHubbard Před 12 lety

    Really enjoyed this video, thanks.

  • @fcortesjp
    @fcortesjp Před 10 lety

    well. I have to agree.. this is possibly the best explanation about continuity...
    India rules.. cheers from Bogota, Colombia!!
    Thank you!

  • @akashmishra8147
    @akashmishra8147 Před 8 lety

    that was awesome man. Ty

  • @nataliesabatella6007
    @nataliesabatella6007 Před 7 lety +1

    So helpful! Thank you!!