Limits of trigonometric functions | Limits and continuity | AP Calculus AB | Khan Academy

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  • Опубліковано 1 січ 2025

КОМЕНТАРІ • 46

  • @ivanlo7195
    @ivanlo7195 5 років тому +95

    so khan academy can make a tutorial about how to have beautiful writing with mouse only

  • @SM-qn7sr
    @SM-qn7sr 2 роки тому +36

    My professor made everything confusing. And when I watched it, I suddenly remember what I learned from Trig

  • @alexandrewvice6845
    @alexandrewvice6845 7 років тому +21

    UA-cam is the Best School in the world. Seriously If youtube can just work with the government, This Platform could be very VERY profitable for Google and Very Helpful for students.

    • @pspmaster2071
      @pspmaster2071 7 років тому +2

      Alexandrewvice I don't think that would work out so well. and it's unnecessary

    • @parkercampellone8276
      @parkercampellone8276 7 місяців тому

      I mean it already is very profitable for google and very helpful for students lol

    • @idkanaccountname
      @idkanaccountname 18 днів тому

      The government would ruin it, like they do most things

  • @TheCaptain14
    @TheCaptain14 7 років тому +33

    Sometimes I look at Khan Academy videos in my subscription box and think, "Hasn't Sal covered this topic 7 times already?" I still watch, regardless.

  • @nielsdaemen
    @nielsdaemen 6 років тому +18

    4:30 I learned that the limit is +∞

    • @Eli-R
      @Eli-R 4 роки тому +1

      in the unit circle it's (0,1)

    • @polkol8502
      @polkol8502 2 роки тому

      It's graphic is going to near of Y (infinity), but it won't touch the Y in the end of the this approach

    • @asd-wd5bj
      @asd-wd5bj Рік тому +1

      It's an ancient comment, but just in case anybody stumbles upon it - one must differentiate between Real Numbers (where ∞ isn't a valid element) and Expanded Real Numbers (Where ∞ *is* a valid element and in certain contexts can be treated as number). In the former, way more common set, division by 0 is undefined, in the later it's precisely +∞. The answer depends on the context

    • @nielsdaemen
      @nielsdaemen Рік тому +1

      Correct, and all these years later the math makes more sense

  • @isaiahcampbell3992
    @isaiahcampbell3992 6 років тому +4

    I really like your writing.

  • @otherside9685
    @otherside9685 6 років тому +30

    What is that pointer dude, are you aiming

  • @yerimirey
    @yerimirey 3 роки тому +4

    how do I make a table of values when the limit approaches π??

  • @midnightsilverpuppy
    @midnightsilverpuppy 7 років тому +5

    How do you know if / when a point is in a specific domain?

    • @midnightsilverpuppy
      @midnightsilverpuppy 7 років тому +1

      *keeps watching
      "Oh"
      Nevermind. Thanks for making these videos and making them available around the world for free. They're great

  • @khandkertiashazad6858
    @khandkertiashazad6858 7 років тому +16

    I think the previous pointer was fine, this one seems a little too big.
    .

  • @RMAnimations
    @RMAnimations 6 років тому +12

    i dislike that pointer, it reminds me of a reticle. It's also very distracting.

  • @asim-gandu-phenchod
    @asim-gandu-phenchod 4 роки тому +1

    Thanks for awesome content

  • @miki3386
    @miki3386 2 роки тому +2

    00:35 " all trig functions are continuous over their entire domain " what about f(×)=tan(×)

    • @JellyfishManiac
      @JellyfishManiac 5 місяців тому

      yes. the asymptotes are not part the domain for the tangent function

  • @LilPozzer
    @LilPozzer 5 років тому +2

    easy to see that you are sniper

  • @jerge5484
    @jerge5484 4 роки тому +2

    Nice crosshair

  • @idkanaccountname
    @idkanaccountname 18 днів тому

    I know these are basic concepts, but textbook somehow makes this complicated

  • @Zaphchial_Mejia
    @Zaphchial_Mejia 4 роки тому +1

    First-person maths

  • @cogito-matthew-sum
    @cogito-matthew-sum 9 місяців тому +1

    can you solve where my limit is approaching

  • @fareedadahnsiah-eo4is
    @fareedadahnsiah-eo4is Рік тому

    Please why's cosine rule using r/4

  • @sahilbharodiya217
    @sahilbharodiya217 7 років тому +1

    plz upload iit question plz sir

    • @prat4055
      @prat4055 6 років тому

      sunny bharodia dude there's no IIT in USA. He's only gonna post universal questions which can work internationally

  • @saketgurjar6158
    @saketgurjar6158 7 років тому +2

    👍🏻

  • @marksanfelipe3903
    @marksanfelipe3903 7 років тому +3

    is this guy samuel jackson?

  • @sujithatesh2471
    @sujithatesh2471 7 років тому +2

    it is looking wierd(pointer)

  • @noodles450
    @noodles450 3 роки тому +2

    I CANT UNDERSTAND ANYTHING

  • @Loverboy1213-c8c
    @Loverboy1213-c8c Рік тому +1

    i don't really get some of the answers..... cos(pi^4) is 0.999... why are you saying it's 0.707....

    • @koopaid8165
      @koopaid8165 5 годин тому

      pi^4 is pi to the power of 4 so cos(pi^4) = -0.13 where as cos(pi/4) is .707 (you were calculating in degrees, not radians. You need to make sure your calc is in radians) which is rt(2)/2 (refer to the unit circle).

  • @wonderfulsleepchan5233
    @wonderfulsleepchan5233 3 роки тому

    The black background makes me headache😅