Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy

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  • Опубліковано 20 вер 2024
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    Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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КОМЕНТАРІ • 260

  • @donovankeating8577
    @donovankeating8577 8 років тому +563

    "The Squeeze Theorem is my favorite theorem in mathematics because it has the word 'squeeze' in it."

  • @robgur85
    @robgur85 9 років тому +337

    squeeze theorem, squeeze, squeeeeze

    • @billydiesel8520
      @billydiesel8520 8 років тому +2

      +Rob Gur He always does that lol.

    • @douchelick7263
      @douchelick7263 8 років тому +10

      Bill eats more than Sal.... Don't be like Bill....

    • @theentity3061
      @theentity3061 6 років тому

      Looool I thought nobody else realised that

  • @mr.boeing7472
    @mr.boeing7472 4 роки тому +142

    (*11 years later)
    No one:
    Sal: "SQUEEZE THEOREM.......SQUEEEEZE... SQUEEZE THEOREM"

  • @Axisoft
    @Axisoft 6 років тому +517

    240p, we meet again...

  • @BeastGanon
    @BeastGanon 7 років тому +51

    Squeeze Count: 18

  • @waseeeem1979
    @waseeeem1979 11 років тому +6

    أنا فخورة جدا .لأنك مسلم .... في الحقيقة أنا متخصصة رياضيات ممن جامعة النجاح ولكن لم أشاهد في حياتي أحدا يشرح الرياضيات بهذه البراعة ... أرجو أن تقرأ رسالتي ... أنا من فلسطين ... سأشاهد جميع محاضراتك في الرياضيات ان شاء الله وسأعدعو صديقاتي لمشاهدتها ... خزاكم الله خيرا

  • @lass02t
    @lass02t 10 років тому +198

    I'd call this the starvation theorem, not the sandwich. Lol

  • @jmukes97
    @jmukes97 8 років тому +246

    Bill and Umaima are anorexic......

  • @nolimityouth7238
    @nolimityouth7238 10 років тому +52

    my name is bill. shit just got real.

  • @TheSonicSegaNerd
    @TheSonicSegaNerd 8 років тому +164

    If we apply Khan's calory example to the graph he drew, we find that Umaima eats negative calories for about 4 days at a time. I dread to think how she achieved this... You should get your wife checked out, Khan...

    • @afsharalithegreatiranian9777
      @afsharalithegreatiranian9777 8 років тому +1

      The Sonic Sega Nerd LOL

    • @afsharalithegreatiranian9777
      @afsharalithegreatiranian9777 8 років тому +8

      The Sonic Sega Nerd
      She ate negative food ie antimatter

    • @ashboon1625
      @ashboon1625 7 років тому +17

      The Sonic Sega Nerd Simple, she ate parasites. Food gives you calories(energy), that's why we have positive gain. For it to be negative (energy loss), the food has to consume energy from her body more than how much calories the food contains. Therefore, the only thing I can think of, is parasites.

    • @negativekelvin6434
      @negativekelvin6434 7 років тому +3

      or maybe she just ate celery

    • @lukemoura256
      @lukemoura256 7 років тому +3

      that's because she did a lot of effort and didn't eat enough to offset the calories she lost

  • @eshikad5190
    @eshikad5190 4 роки тому +36

    That was a great analogy, I understood the concept almost instantly after being so confused about my class notes prior to watching.

  • @thedawapenjor
    @thedawapenjor 2 роки тому +3

    I would like to request a HD Remaster of this video

  • @RavenAngel59
    @RavenAngel59 11 років тому +19

    I'm just taking notes and all I hear is "squeeeeeeze theorem" over and over xD

  • @ladyclairinnelim3556
    @ladyclairinnelim3556 8 років тому +33

    Sal, can you make your own university or college? I'm sure to enroll there

    • @lkdjlkjd
      @lkdjlkjd 7 років тому

      He does have a school... its from K-12(grade school). It is based out of California and tuition ranges from $25,000-$30,000 yearly!

  • @chocopiess
    @chocopiess 16 років тому +16

    Dude, all your videos just totally saved my grade in this class, thanks.

    • @samuraijosh1595
      @samuraijosh1595 3 роки тому +1

      Bro, 12 years ago!!! How's life now..?

    • @wlo23ex81
      @wlo23ex81 3 роки тому +2

      Ikr?! omg a 12 year comment! How are you doinngg

    • @chocopiess
      @chocopiess 3 роки тому +4

      @@wlo23ex81 it’s been 12 years and I still don’t get it 🙄🤣

    • @zacrblx7978
      @zacrblx7978 2 роки тому

      @@chocopiess omg r u out of school

    • @pulkitvashisht6181
      @pulkitvashisht6181 2 роки тому

      How's it going?

  • @henryshingalili4181
    @henryshingalili4181 8 років тому +26

    I love the Squeeze theorem .. Squeeeeeze ..... Squeeze theorem!

  • @makidude
    @makidude 12 років тому +9

    I laughed when he said SQUEEEEEEEEEEEEEEEEEZE

  • @idude001
    @idude001 11 років тому +4

    I love this guy's voice. Makes it soo much easier to learn! Thanks!

  • @Wizard-et2fe
    @Wizard-et2fe 4 роки тому +19

    "I am always in between umama and bill" ..that sounded weird

  • @joydeepbhattacharjee5305
    @joydeepbhattacharjee5305 5 років тому +4

    this is the best video of the series still now

  • @trentywenty
    @trentywenty 13 років тому +1

    i have a great calculus teacher..and a great physics teacher..and i had a great chem teacher. you're like all of them combined except you don't get annoyed when i ask you to repeat something...and you don't check homework. chillest teacher ever.

  • @DedalusMt
    @DedalusMt 12 років тому +1

    In Italy we call it something like policemen's theorem: g(x) and h(x) are the policemen, f(x) is the prisoner

  • @krishanudeb6243
    @krishanudeb6243 3 роки тому +2

    My heartfelt gratitude for your lovely explanation 😭😭

  • @CALISUPERSPORT
    @CALISUPERSPORT 3 роки тому +1

    I graduated HS in 2007 but returned to college in 2018. I just find it funny that I'm watching a Khan academy vid that my friends likely watched for Calculus 13 years ago.

  • @Nickuncle
    @Nickuncle 11 років тому +1

    L'Hopitel's rule can explain the limit as well right?
    lim sin/x x->0
    since it's 0/0 we can derive the num and den and get cosx/1 = 1/1
    Yes?

  • @eldenfindley186
    @eldenfindley186 10 років тому +4

    You really cleared this up for me! It's so easy, now that I think about it.

  • @kaushambichandel8185
    @kaushambichandel8185 4 роки тому +1

    love from india, the way u explain is amazing... thank u sir

  • @mudasersediqi366
    @mudasersediqi366 4 роки тому +3

    Thank you so much Sir,the calories example really made easy for me to understand.

  • @himself99
    @himself99 8 років тому +5

    Very Well explained!!

  • @karl6892
    @karl6892 7 років тому +43

    squeeeeze..... squeeeeeeeze....

    • @theentity3061
      @theentity3061 6 років тому +1

      Lol I thought nobody else realised that...."squeeeeeeeeeeze...."

  • @devinmulrooney
    @devinmulrooney 15 років тому +7

    Thank you so much! That explanation made the theorem really clear.

  • @danjbundrick
    @danjbundrick 9 років тому +29

    4:36 - 4:43 HAHA

    • @MashrufKabir
      @MashrufKabir 9 років тому +3

      Ifkr. I was just going to scroll down to comment on that hahahaha

    • @danjbundrick
      @danjbundrick 9 років тому +1

      Hahaha!

    • @MashrufKabir
      @MashrufKabir 9 років тому +1

      Exams, fml. Help me Daniel Bundrick

    • @jazminsosa7529
      @jazminsosa7529 9 років тому +2

      Lmao, I was laughed as well

  • @H411UCIN093NIC
    @H411UCIN093NIC 10 років тому +1

    You sir make calculus easy, my instructor on the other hand.... yea not so comprehensive... Gonna take a test tomorrow thought," Hey Ill review using Khan Academy." Greatest decision ever!

  • @xX1234512345xX
    @xX1234512345xX 8 років тому +74

    Who the hell eats only 300 calories in a day

    • @janisl.6982
      @janisl.6982 7 років тому +22

      Michael McGrath He probably has no idea of nutrition and just made up numbers. But who cares it's a good video anyways.

    • @sln7736
      @sln7736 6 років тому +17

      African kids

    • @jacobwharton5048
      @jacobwharton5048 6 років тому +3

      In what world is caloric consumption bounded by that of your peers? It is an example. Sure is a very low value to pick, though. Alternate answer: prisoners in concentration camps

  • @lyndseystrait1513
    @lyndseystrait1513 Рік тому +1

    Love how he mentioned his wife :). Anyways, great simple explanation as always!

  • @jarrinderricks1307
    @jarrinderricks1307 10 років тому +2

    Excellent explanation of the squeeze theorem

  • @oathbreaker3503
    @oathbreaker3503 5 років тому +4

    "Squeeeeeeeeeze"- Sal (2008)

  • @d4d5c4-
    @d4d5c4- Рік тому

    this is the best video in yt so far, it was like this for 14 years

  • @gengargo1385
    @gengargo1385 5 років тому +5

    Great explanation 😉.
    I really loved the way u thought me😍.
    Congrats👏👏👏👏

  • @katrex4507
    @katrex4507 12 років тому +1

    Once again the easy route is sinx -> cos x and x ->1 cos x/1 at 0 = 1

  • @Annaa218
    @Annaa218 12 років тому +1

    youtube has become my study partner -_- thank you so much!

  • @jamessimon2002
    @jamessimon2002 11 років тому +1

    I am watching these calculus videos on shuffle YOLO!

  • @CLE277
    @CLE277 15 років тому

    cultural aspects are the best reason to poke fun. For the most part it's harmless, and bi-directional. We shouldn't be so sensitive.

  • @dangeer3371
    @dangeer3371 9 років тому +1

    It seems like this is just a more in depth way of looking at the intermediate value theorem. Applying the same concept to functions as you would points.

  • @discuss2130
    @discuss2130 9 років тому +1

    Correction: sorry, but you did not prove the sin x theorem as initially promised at the start. To do so, you should mention that cos x < sin x / x < 1 when x tends towards 0. Then consider that result with the results of the squeeze theorem. For more details, please see wiki at en.wikipedia.org/wiki/Squeeze_theorem. Okay I see now proof is given in your next video :-)

  • @ddben1000
    @ddben1000 14 років тому +1

    nice use of straight lines!

  • @katexochwosoter8152
    @katexochwosoter8152 2 роки тому

    you are good mentor and knowledgeable.

  • @ojumehta1
    @ojumehta1 8 років тому +15

    ROFL 4:35😂

  • @pantydropperr6002
    @pantydropperr6002 3 роки тому +1

    Because it has the word squeeze in it lmaooo love that

  • @MoonLight11023
    @MoonLight11023 11 років тому +1

    It's called Sandwich theorem too.

  • @avaniagashe845
    @avaniagashe845 3 роки тому

    Loved the way you explained it.
    Thanks a ton 🤍

  • @pampiruizdiaz767
    @pampiruizdiaz767 6 років тому

    BEST EXPLANATION THANK YOU

  • @lexinaut
    @lexinaut 14 років тому +3

    Nice presentation of this V.I.T. (very important theorem). The Squeeze Theorem is a THEOROPOTAMUS. That is, a theorem that has HEAVY implications, despite its obviousness. Thanks! On 300 calories, you will definitely NOT become a Theoropotamus.

  • @Nickuncle
    @Nickuncle 11 років тому +1

    Bolemia is a tough condition.

  • @DessertUnicorn
    @DessertUnicorn 8 років тому +1

    Wow, thank's for the best explanation, surely better than that of the Ohio University : )

  • @ManDudeYeah
    @ManDudeYeah 12 років тому

    I hate the squeeze theorem. I can do it just fine, it just makes me think of tight butt cheeks while I'm in Calculus class. I get nothing done when my mind is focused on booty.
    Anyway, thanks again, Khan. Huge help!

  • @vskanwal
    @vskanwal 8 років тому +1

    Good explanation 👍

  • @butterflykisses0322
    @butterflykisses0322 13 років тому +3

    my teacher calls this the "Sandwich Theorem" :)

  • @geethaprudhvi5134
    @geethaprudhvi5134 4 роки тому

    The best explaination 👍💯

  • @j4w7
    @j4w7 12 років тому

    i lOVE khanacademy...such a helpful and resourceful website...no wonder bill gates sponsors this

  • @chessnoob9150
    @chessnoob9150 3 роки тому +2

    I am watching it even in 2021 😂

  • @Segepop
    @Segepop 14 років тому +1

    Greater than your wife but less only than fictional characters. Sal, you've got an appetite to reckon with. :))
    Few people can make mathematics fun, and you're one of them. Thank you!

  • @Shubhankar123456
    @Shubhankar123456 8 років тому

    can anyone tell me where to use squeeze theorem....tell me how to find the limit of the function" lim x tends to 0 of "x*tan(1/x)" using pinching theorem... Can we use pinching theorem here..if not why? if yes, how??

  • @boeing747200lr
    @boeing747200lr 13 років тому

    That was a mind boggling intuition of squeeze theorem.

  • @franzua17
    @franzua17 14 років тому

    best explanation ever... I like it

  • @abrardar11
    @abrardar11 10 років тому +4

    what if we call it sandwich theorm..

  • @mythslife8883
    @mythslife8883 3 роки тому +2

    I like this theorem where everything is equally treated 😇

  • @ramansquid2645
    @ramansquid2645 Рік тому

    Thanks man

  • @Pseudoornitologist
    @Pseudoornitologist 7 років тому

    Thank you!

  • @hellokat68
    @hellokat68 10 років тому

    thanks for your vid and your sub, your sub is very helpful for non-English speaking ones like me to understand

  • @ohashem
    @ohashem 12 років тому

    here in egypt they call in sandwich theorem

  • @VizPhoria
    @VizPhoria 13 років тому

    @ScottcNehrer I can accept that Sal should eat more than 300 calories but Umaima sounds like she eats the right amount.

  • @negativekelvin6434
    @negativekelvin6434 7 років тому +5

    The real question is how the heck did the 3 of you survive on 300 calories

  • @v3nommusic
    @v3nommusic 6 років тому

    Great lecture !!!! Love ur videos!!

  • @totopotomoy
    @totopotomoy 14 років тому

    Sal I hate to bother you but you have to do something on Beer's Law...Pleeease!!!! and the relationship of A=Ebc....

  • @GammaFZ
    @GammaFZ 3 роки тому

    lol to solve any limit just use l’hopital, the rule is pretty intuitive as well

  • @Kosekans
    @Kosekans 14 років тому

    Squeeze theorem :-) ... I think the german equivalent is "Karabinieri Lemma" or "Bullen Lemma". There seem to be a lot of funny names for this all over the world ... xD

  • @canreader
    @canreader 13 років тому

    Do a video on continuity!!!!!

  • @sonicfanrs
    @sonicfanrs 13 років тому

    Oh I get it, because it "squeezes" between g(x) and h(x).

  • @careuhsellxo
    @careuhsellxo 13 років тому

    do you have any videos on the intermediate value theorem? :D

  • @ajvarhot1703
    @ajvarhot1703 11 років тому

    Çok iyi anlatım olmuş teşekkürler.

  • @gloriapappalardo3777
    @gloriapappalardo3777 6 років тому

    Vintage Khan Academy.

  • @dnyaneshkadam9212
    @dnyaneshkadam9212 2 роки тому

    this video is a year older than I am :( still its better than my teachers

    • @suhaas3712
      @suhaas3712 2 роки тому

      why are you learning limits and calculus at the age of 13. that's impressive

  • @supdenfoosukka
    @supdenfoosukka 13 років тому

    no one has a video explaining that a limit exists in multi-variable calculus with the squeeze theorem.

  • @trancemaniac91
    @trancemaniac91 12 років тому

    He sure did deserve his 2 million$

  • @261Maryam
    @261Maryam 12 років тому

    My professors loves the squeeze theorem and I hate him so I hate the squeeze theorem but I have to study it

  • @MartinLarsson
    @MartinLarsson 15 років тому

    Sal stated this verbaly in the video.

  • @asalad083
    @asalad083 15 років тому

    sal made correct example

  • @arpithams
    @arpithams 12 років тому

    simply superb.....

  • @thetempest0
    @thetempest0 5 років тому

    Something simple at last

  • @StGroovy
    @StGroovy 16 років тому

    Umaima is such a great name

  • @GarryBurgess
    @GarryBurgess 2 роки тому

    clear

  • @chhavisharma6770
    @chhavisharma6770 Рік тому

    ''The Squeeze Theorem is my favorite theorem in mathematics because it has the word 'squeeze' in it."😂

  • @BearsFan054
    @BearsFan054 15 років тому

    Squeeze theorem... squeeeeze theooorem... squuuuuuuuueeezze theorem lol

  • @plethoracopius6268
    @plethoracopius6268 3 роки тому +1

    12 Years later....squeeze

  • @rickevans33050
    @rickevans33050 3 роки тому

    Three hundred is never less than 300 or more than 300. More correct initial premise phrasing should have be Sal never eats less than Umaima and Sal never eats more than Bill.

  • @johnlapalui6838
    @johnlapalui6838 10 років тому

    Yap...perfect explanation!!!!!!!!!!!!!!11....need more on that cos notes given on that is very complicated and confusing...:-):-)

  • @rachelspartacus9293
    @rachelspartacus9293 2 роки тому

    Gaston always eats more than or equal to Bill.

  • @iamahier4148
    @iamahier4148 3 роки тому

    I WISH THAT YOU MADE VIDEO WITH 720P OR 1080P WITH A BETTER SOFTWARE THAN THIS!,!,!
    NEVER TRUST EDITED COMMENTS

  • @yoyog369
    @yoyog369 4 роки тому

    It feels different watching 11yo video😮