Matematika

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2 Jawaban

  • Langsung masukin aja lim xmenuju 3 nya..
    Gambar lampiran jawaban sittinuranizainl
  • Bab Limit
    Matematika SMA Kelas XI

    lim ((√(6x - 2) - √(3x + 7))/(x - 3))
    x→3
    = lim ((√(6x - 2)² - √(3x + 7)²) / ((x - 3) (√(6x - 2) + √(3x + 7)))
    ...x→3
    = lim (6x - 2 - 3x - 7) / ((x - 3) (√(6x - 2) + √(3x + 7)))
    ...x→3
    = lim (3x - 9) / ((x - 3) (√(6x - 2) + √(3x + 7)))
    ...x→3
    = lim (3(x - 3)) / ((x - 3) (√(6x - 2) + √(3x + 7)))
    ...x→3
    = 3 / (√(6 . 3 - 2) + √(3 . 3 + 7))
    = 3 / (√16 + √16)
    = 3 / (4 + 4)
    = 3/8

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