Matematika

Pertanyaan

Lim x => 4, Mohon bantuannya!!!
Lim x => 4, Mohon bantuannya!!!

1 Jawaban

  • Lim (x^2 - 2x - 8)/(3 - √(x^2 - 7))
    = Lim (x^2 - 2x - 8)/(3 - √(x^2 - 7)) . (3 + √(x^2 - 7))/(3 + √(x^2 - 7))
    = Lim (x^2 - 2x - 8)(3 + √(x^2 - 7)) / (9 - (x^2 - 7))
    = Lim (x^2 - 2x - 8)(3 + √(x^2 - 7)) / (16 - x^2)
    = Lim (x - 4)(x + 2)(3 + √(x^2 - 7)) / (4 + x)(4 - x)
    = Lim -(4 - x)(x + 2)(3 + √(x^2 - 7)) / (4 + x)(4 - x)
    = Lim -(x + 2)(3 + √(x^2 - 7)) / (4 + x)
    = -(4 + 2)(3 + √(4^2 - 7)) / (4 + 4)
    = -6(3 + √(16 - 7)) / 8
    = -6(3 + √9) / 8
    = -6(6) / 8
    = -9/2
    = -4 1/2
    = -4,5