Matematika

Pertanyaan

Lim x-tak terhingga (2x-5-akar 4x kuadrat -10x + 5)

1 Jawaban

  • Kelas 11 Matematika
    Bab Limit

    Lim (2x - 5 - √(4x² - 10x + 5))
    x→∞

    = lim (√(2x - 5)² - √(4x² - 10x + 5))
       x→∞

    = lim (√(4x² - 20x + 25) - √(4x² - 10x + 5))
       x→∞

    a = 4; b = -20; c = 25; p = 4; q = -10; r = 5

    Karena a = p = 2, maka

    (b - q)/(2√a)
    = (-20 - (-10))/(2 . √4)
    = (-20 +10) / (2 . 2)
    = -10/4
    = -5/2
    = -2.5

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