Matematika

Pertanyaan

Lim x=~ (√x+1-√x+3)(√4x+1) = ...
a. -1/4
b. -1/2
c. -4
d. ~
e. -2

1 Jawaban

  • Bab Limit
    Matematika SMA Kelas XI

    lim (√(x + 1) - √(x + 3)) (√(4x + 1))
    x→~

    = lim √((x + 1) (4x + 1)) - √((x + 3) (4x + 1))
    ...x→~

    = lim √(4x² + 5x + 1) - √(4x² + 13x + 3)
    ...x→~

    a = 4; b = 5; c = 1; p = 4; q = 13; r = 3.

    karena a = p = 4, maka

    (b - q) / (2√a)
    = (5 - 13) / (2 √4)
    = -8/(2 . 2)
    = -2

    ◎◎ E ◎◎

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