Matematika

Pertanyaan

1. Lim x -> 4 x² - 2x - 8 / √x - 2
2. Lim x-> 0 x² / 1-√1+x²
Tolong dibantu ya soalnya mau dikumpul pakai Cara nya ya

1 Jawaban

  • 1.
    (x² - 2x - 8) / (√x - 2)
    = (x - 4)(x + 2) / (√x - 2) × (√x + 2) / (√x + 2)
    = (x - 4)(x + 2)(√x + 2) / (x - 4)
    = (x + 2)(√x + 2)
    = (4 + 2)(√4 + 2)
    = 6(2 + 2)
    = 6 × 4
    = 24

    2.
    x² / (1 - √(1 + x²))
    = x² / (1 - √(1 + x²)) × (1 + √(1 + x²)) / (1 + √(1 + x²))
    = x²(1 + √(1 + x²)) / (1 - (1 + x²))
    = x²(1 + √(1 + x²)) / -x²
    = -(1 + √(1 + x²))
    = -(1 + √(1 + 0))
    = -(1 + √1)
    = -(1 + 1)
    = -2

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