Matematika

Pertanyaan

tolong bantu kerjakan no. 6
terimakasih.
tolong bantu kerjakan no. 6 terimakasih.

1 Jawaban

  • Lim (x - 8)/(3√x - 2) = Lim (x - 8)/(x^1/3 - 2)

    Cara L'HOSPITAL
    Lim (x - 1)/(x^1/3 - 2)
    = Lim 1 / (1/3 x^-2/3)
    = Lim 3x^(2/3)
    = 3(8)^2/3
    = 3(2^3(2/3))
    = 3(2^2)
    = 12

    Cara pemfaktoran
    Lim (x - 8)/(x^1/3 - 2)
    = Lim (x - 8)/(x^1/3 - 2) . (x^2/3 + 2x^1/3 + 4)/(x^2/3 + 2x^1/3 + 4)
    = Lim (x - 8)(x^2/3 + 2x^1/3 + 4) / (x - 8)
    = Lim (x^2/3 + 2x^1/3 + 4)
    = (8)^2/3 + 2(8)^1/3 + 4)
    = (2^3)^2/3 + 2(2^3)^1/3 + 4
    = 2^2 + 2(2) + 4
    = 4 + 4 + 4
    = 12

    ^ = pangkat