Matematika

Pertanyaan

Lim (3-√(4x+1))/(x-2)
X→2

1 Jawaban

  • Lim (3 - √4x+1)(3 + √4x+1) / (x-2)(3 + √4x+1)
    x→2

    Lim [9 - (4x + 1)] / (x - 2)(3 + √4x+1)
    x→2

    Lim [9 - 4x - 1)] / (x - 2)(3 + √4x+1)
    x→2

    Lim -4x + 8 / (x - 2)(3 + √4x+1)
    x→2

    Lim -4(x - 2) / (x - 2)(3 + √4x+1)
    x→2

    Lim -4 / 3 + √4x+1
    x→2

    = -4 / 3 + √4(2) + 1
    = -4 / 3 + √8 + 1
    = -4 / 3 + √9
    = -4 / 3 + 3
    = -4 / 6
    = -2/3

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