Matematika

Pertanyaan

LimX➡3 (X2-X-6/4-akar 5X+1)

1 Jawaban

  • Lim x² - x - 6
    x→3 .. / 4 - √5x + 1

    Lim (x² - x - 6)(4 + √5x + 1)
    x→3 .. / (4 - √5x + 1)(4 + √5x + 1)

    Lim (x² - x - 6)(4 + √5x + 1)
    x→3 .. / (16 - (5x +1)

    Lim (x - 3)(x + 2)(4 + √5x + 1)
    x→3 .. / (16 - 5x - 1)

    Lim (x - 3)(x + 2)(4 + √5x + 1)
    x→3 .. / -5 (x - 3)

    Lim (x + 2)(4 + √5x + 1)
    x→3 .. / -5

    = (3 + 2)(4 + √5(3) + 1) / -5

    = 5 (4 + √16) / -5

    = - (4 + 4)

    = -8

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