🔶21 - Continuity and Discontinuity of a Function

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  • เผยแพร่เมื่อ 17 พ.ย. 2024

ความคิดเห็น • 12

  • @EsanOlami-rz1mq
    @EsanOlami-rz1mq 3 หลายเดือนก่อน +2

    I literally just watched this for the sake of it, not expecting to understand. I'm surprised I could solve the last two questions in my head just from listening. Wow

  • @ebenezerelorm
    @ebenezerelorm ปีที่แล้ว +1

    Please if condition 2 which says the left hand limit should be equal to the right hand limit should be satisfied for a function to be continues, how then can we have a function to be continues at only one side say left hand continues or right hand continues
    I don't know if you get the point I'm trying to figure out 😥

    • @SkanCityAcademy_SirJohn
      @SkanCityAcademy_SirJohn  ปีที่แล้ว

      Yes, now the LHL being equal to the RHS is the condition to be specified, and as a matter of facts there are functions as you know who maybe continuous at one side and not the other side. For LHL and RHL, considering them separately, two conditions should be specified.
      1. LHL must exist and must be equal to the functional value f(a). Again for
      2. RHL must also exist and must be equal to the functional value f(a).
      Notice that these steps are two independent steps.
      At the end LHL = f(a) = RHL, if this condition is not specified, then the general limit of f(x) does not exist as hence the function cannot be continuous.
      With the LHL and RHL, the basic idea is to see how the function behaves when you approach it from both sides,

  • @evanstwedeer593
    @evanstwedeer593 2 ปีที่แล้ว +1

    There's something wrong with your voice 😟