Matematika

Pertanyaan

lim x-∞ √4xkuadrat +2 - (2x -3)



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  • Kelas 11 Matematika
    Bab Limit

    lim (√(4x² + 2) - (2x - 3))
    x→∞

    = lim (√(4x² + 2) - √(2x - 3)²)
       x→∞

    = lim (√(4x² + 2) - √(4x² - 12x + 9))
       x→∞

    a = 4; b = 0; c = 2; p = 4; q = -12; r = 9

    Karena a = p = 4, maka

    (b - q)/(2 √a)
    = (0 - (-12)) / (2√4)
    = 12/(2 . 2)
    = 3

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