Matematika

Pertanyaan

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Lim x2-5x-6 sin 2(x-2)
x->2 -------------------------
x2-x-2

2 Jawaban

  • limit x²-5x-6 sin 2(x-2)
    x —> 2

    (2)²-5(2)-6 sin 2(x-2)
    (2)(2)-10-6 sin 2(x-2)
    4-16 sin 2(2-2)
    -12 sin 8
  • Lim (x^2 - 5x - 6)(sin 2(x - 2)) / (x^2 - x - 2)
    = Lim (x^2 - 5x - 6)(sin 2(x - 2)) / (x - 2)(x + 1)
    = Lim (x^2 - 5x - 6)/(x + 1) . (sin 2(x - 2))/(x - 2)
    = (2^2 - 5(2) - 6)/(2 + 1) . 2/1
    = (-12/3) . 2
    = -8

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