Matematika

Pertanyaan

Nilai Lim X mendekati tak terhingga akar 4x^2 - 3x + 7 - (2x - 3) =

1 Jawaban

  • lim √4x²-3x+7 - (2x - 3)
    x→∞

    lim √4x²-3x+7-(2x - 3) × √4x²-3x+7 + (2x-3) / √4x²-3x+7 + (2x - 3)
    x→ ∞

    lim 4x²-3x+7-(2x - 3)² / √4x²-3x+7 + (2x - 3)
    x→ ∞

    lim 4x²-3x+7 -(4x²-12x+9) / √4x²-3x+7 + (2x - 3)
    x→ ∞

    lim 9x-2 / √4x²-3x+7 + (2x - 3)
    x→∞

    dibagi pangkat tertinggi = x

    = 9x-2 / √4x²-3x+7 + (2x - 3)
    = 9x/x -2/x / √4x²/x²- 3x/x²+ 7/x² + (2x/x - 3)
    = 9 / 4+2
    = 9/6
    = 3/2
    = 1½
    = 1,5

Pertanyaan Lainnya