SBMPTN

Pertanyaan

tolong no 1 sama 2... makasih
tolong no 1 sama 2... makasih

1 Jawaban

  • Kita gunakan L'hospital saja ya (turunan) dan INGAT
    y = √f(x) => y' = (f'(x)) / 2√(f(x))

    1) Lim (√x - √(2x - 1)) / (x - 1)
    = Lim {1/(2√x) - 2/(2√(2x - 1))} / 1
    = 1/(2√1) - 2/(2√(2.1-1))
    = 1/2 - 2/2
    = -1/2

    2) Lim (x - √(2x + 3)) / (x^2 - 9)
    = Lim (1 - 2/(2√(2x + 3))) / (2x)
    = Lim (1 - 1/√(2x + 3)) / (2x)
    = (1 - 1/√(2.3 + 3)) / (2.3)
    = (1 - 1/3) / 6
    = (2/3) / 6
    = 2/18
    = 1/9