Squeeze Theorem Application to Trigonometry and Greatest Integer Functions for Limits

แชร์
ฝัง
  • เผยแพร่เมื่อ 25 ส.ค. 2024
  • #globalmathinstitute #anilkumarmath • How Many Right Triangl... Squeeze Theorem Applications: • Squeeze Theorem Limit ...
    Squeeze Theorem or the Pinching Theorem says that if g(x) is squeezed between f(x) and h(x) near a, and if both f and h have the same limit L at a then g has the same limit L at a.
    Application of Squeeze Theorem
    #squeezetheorem #calculuschallenge #anilkumarmath #globalmathinstitute
    / @mathematicstutor Anil Kumar FREE Math Class Booking: www.globalmath...
    Contact anil.anilkhandelwal@gmail.com to learn directly from Anil Kumar
    lim┬(x→0)⁡〖x^2 cos⁡(1/x^2 ) 〗
    lim┬(x→0)⁡〖x^4 e^sin⁡(1/x) ⁡ 〗
    lim┬(x→∞)⁡〖(x^2+x sin⁡x)/(x^2+cos⁡x )〗
    lim┬(x→∞)⁡〖x⌊x^2/3⌋/⌊x^3/6⌋ 〗 #GCSE #SAT #EQAO #IBSLmath

ความคิดเห็น • 17

  • @chrischuungula673
    @chrischuungula673 8 หลายเดือนก่อน

    Great video very much helpful

  • @ronaldmayland4133
    @ronaldmayland4133 2 ปีที่แล้ว +2

    This is the most comprehensive video on Squeeze theorem i've seen. Great video. New for me is the upper and lower boundaries

  • @Aiden-yx9ht
    @Aiden-yx9ht 3 ปีที่แล้ว +1

    This is art !

  • @chukwudisimere8463
    @chukwudisimere8463 3 ปีที่แล้ว

    this finally made sense. thank you!!!

  • @bereketabebayehu1033
    @bereketabebayehu1033 2 ปีที่แล้ว

    thanks for you explanation

  • @christopherramsey6001
    @christopherramsey6001 ปีที่แล้ว

    I thought I had lost my link to this video and was panicking. This is my first choice of all videos on the web for understanding the squeeze theorem.

  • @cartilo2619
    @cartilo2619 2 ปีที่แล้ว

    Thank you, this was really helpful

  • @thenewdimension9832
    @thenewdimension9832 ปีที่แล้ว

    Thankyou so much sir !

  • @juniormatshaneng3822
    @juniormatshaneng3822 3 ปีที่แล้ว

    Thank you

  • @jakobj55
    @jakobj55 2 ปีที่แล้ว +2

    Great video! I think at 16:00 you made a slight mistake. Factoring x**2 out of x**2+1 gives you x**2(1+(1/x**2)) not just 1+1/x. But well the limit is and was 1.

  • @eriknicheskirameau5687
    @eriknicheskirameau5687 3 ปีที่แล้ว +2

    factoring x2 in the denominator is not 1/x?

    • @_torgeek9108
      @_torgeek9108 3 ปีที่แล้ว

      I actually thought maybe he applied a rule I'm not aware of. for function f(x) = (x^2 (1-1/x))/(x^2 (1+1/x^2 ) ) not (x^2 (1-1/x))/(x^2 (1+1/x) )

    • @jakobj55
      @jakobj55 2 ปีที่แล้ว

      Factoring x**2 out of x**2+1 gives you x**2(1+(1/x**2)) not just 1+1/x

    • @marczxp8088
      @marczxp8088 ปีที่แล้ว

      @@_torgeek9108 well, yes, divide the highest denominator power

  • @kanikabagree1084
    @kanikabagree1084 4 ปีที่แล้ว +1

    Hi is'nt x-1 < [x] ≤x?