Matematika

Pertanyaan

lim x→∞ x^5 - 2x^4 + 3x^2 -2 / 3x^5 - 2x + 1
tolong pake cara panjang iya jgn pake cara penjek

2 Jawaban

  • Kelas 11 Matematika
    Bab Limit

    lim (x⁵ - 2x⁴ + 3x² - 2)/(3x⁵ - 2x + 1)
    x→∞

    = lim (x⁵/x⁵ - 2x⁴/x⁵ + 3x²/x⁵ - 2/x⁵) / (3x⁵/x⁵ - 2x/x⁵ + 1/x⁵)
      x→∞

    = lim (1 - 2/x + 3/x³ - 2/x⁵) / (3 - 2/x⁴ + 1/x⁵)
      x→∞

    = lim (1 - 2/∞ + 3/∞³ - 2/∞⁵) / (3 - 2/∞⁴ + 1/∞⁵)
      x→∞

    = (1 - 0 + 0 - 0) / (3 - 0 + 0)
    = 1/3
  • Banyak...... Banget jawabannya

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