Matematika

Pertanyaan

nilai[tex] \lim_{x \to \3} 3 = 9 - x^{2} [/tex]÷ 4-[tex] \sqrt{ x^{2}+7 }[/tex]

1 Jawaban

  • Bab Limit
    Matematika SMA Kelas XI

    lim ((9 - x²) / (4 - √(x² + 7))
    x→3
    = lim ((9 - x²) (4 + √(x² + 7)) / (4² - √(x² + 7)²)
      x→3
    = lim ((9 - x²) (4 + √(x² + 7)) / (16 - x² - 7))
      x→3
    = lim ((9 - x²) (4 + √(x² + 7)) / (9 - x²))
      x→3
    **coret (9 - x²)**
    = 4 + √(3² + 7)
    = 4 + √(9 + 7)
    = 4 + √16
    = 4 + 4
    = 8

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