Matematika

Pertanyaan

limit x mendekati 3 - akar x pangkat 2 + 5 / 4 - x pangkat 2

2 Jawaban

  • langsung aja y

    lim -√x² + 5 / 4-x²
    x→3

    = -√3²+5 / 4 - 3²
    = -√9+5 / 4 - 9
    = - √14 / -5
    = √14 / 5

    semoga berguna +_+
  • Lim (3 - √(x^2 + 5)) / (4 - x^2)
    = Lim (3 - √(x^2 + 5)) / (4 - x^2) . (3 + √(x^2 + 5))/(3 + √(x^2 + 5))
    = Lim (9 - (x^2 + 5)) / (4 - x^2)(3 + √(x^2 + 5))
    = Lim (4 - x^2) / (4 - x^2)(3 + √(x^2 + 5))
    = Lim 1/(3 + √(x^2 + 5))
    = 1/(3 + √(2^2 + 5))
    = 1/(3 + √9)
    = 1/6

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