Matematika

Pertanyaan

mohon bantuannya kak , secepatnya
mohon bantuannya kak , secepatnya

1 Jawaban

  • Kelas 11 Matematika
    Bab Limit

    lim (3 - √(2x + 3)) / (x² - 9)
    x→3

    = lim (3 - √(2x + 3))/(x² - 9) . (3 + √(2x + 3))/(3 + √(2x + 3))
    ...x→3

    = lim (9 - (2x + 3))/((x² - 9) . (3 + √(2x + 3))
    ...x→3

    = lim (6 - 2x)/((x² - 9) . (3 + √(2x + 3))
    ...x→3

    = lim (-2 (x - 3))/((x + 3)(x - 3)(3 + √(2x + 3))
    ...x→3

    = -2/((3 + 3) . (3 + √(2 . 3 + 3))
    = -2/(6 . (3 + √9))
    = -1/(3 . (3 + 3))
    = -1/(3 . 6)
    = -1/18