Matematika

Pertanyaan

Tolong yg bisa kerjain
Tolong yg bisa kerjain

1 Jawaban

  • a) Lim x/(√(x + 4) - 2) . (√(x + 4) + 2)/(√(x + 4) + 2)
    = Lim x(√(x + 4) + 2) / (x + 4 - 4)
    = Lim (√(x + 4) + 2)
    = √(0 + 4) + 2
    = 2 + 2
    = 4

    b) Lim (x^2 - 9)/(√(x + 6) - 3) . (√(x + 6) + 3)/(√(x + 6) + 3)
    = Lim (x^2 - 9)(√(x + 6) + 3) / (x + 6 - 9)
    = Lim (x + 3)(x - 3)(√(x + 6) + 3) / (x - 3)
    = Lim (x + 3)(√(x + 6) + 3)
    = (3 + 3)(√(3 + 6) + 3)
    = (6) (√9 + 3)
    = 36

    c) Lim x/(√(x + 9) - √(9 - x)) . (√(x + 9) + √(9 - x))/(√(x + 9) + √(9 - x))
    = Lim x(√(x + 9) + √(9 - x)) / ((x + 9) - (9 - x))
    = Lim x(√(x + 9) + √(9 - x)) / 2x
    = Lim (√(x + 9) + √(9 - x)) / 2
    = (√(0 + 9) + √(0 + 9)) / 2
    = 6/2
    = 3