Matematika

Pertanyaan

lim x➡3 x-√2x+3/x^2-9
a.0
b.1/9
c.1/6
d.8
e.9

1 Jawaban

  • = (x^2 - (2x+3)) / (x^2 -9)(x+akar(2x+3))
    = (x^2 - 2x - 3)/(x^2 - 9)(x+akar(2x+3))
    = (x-3)(x+1)/(x-3)(x+3)(x+akar(2x+3))
    = (x+1)/(x+3)(x+akar(2x+3))
    = (3+1)/(3+3)(3+akar(2×3 + 3)
    = 4/6(3+akar9)
    = 2/3(3+3)
    = 2/3×6
    = 2/18
    = 1/9


    smg membantu

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