Matematika

Pertanyaan

lim x➡0 √x^2+8x+4-√x^2-3x+4/8x

1 Jawaban

  • lim √x^2+8x+4-√x^2-3x+4 bagi 8x
    x→0

    lim √x^2+8x+4-√x^2-3x+4 / 8x kali √x^2+8x+4+ √x^2-3x+4 / √x^2+8x+4+√x^2-3x+4
    x→0

    Lim (x^2+8x+4)-(x^2-3x+4) / 8x(√x^2+8x+4+√x^2-3x+4)
    x→0

    Lim. (x^2+8x+4-x^2+3x-4) / 8x(√x^2+8x+4+√x^2-3x+4)
    x→0

    Lim 11x / 8x (√x^2+8x+4 +√x^2-3x+4)
    x→0

    11/8 . (1 / (√(0²+8(0)+4) + √(0²-3(0)+4)
    11/8 . 1 /√4√4
    11/8 . 1/4
    11/32

    hasilnya 11/32

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