Matematika

Pertanyaan

Lim ->3 x-akar 2x+3/9-x2

1 Jawaban

  • jawab

    Limit bentuk 0/0

    limit  (x - √(2x + 3))/ (9 - x²)
    x->3

    limit  (x- √(2x + 3)) (x + √(2x+3)) / (3 -x)(3 + x)
    x->3

    limit  (x²-2x - 3)/ - (x - 3)(3 + x)
    x->3

    limit (x -3)(x + 1) / -(x - 3)(3+x)
    x->3

    limit  (x + 1)/ - (3 + x)
    x->3
    x= 3, limit = (3+1)/ - (3+3) = - 4/6 = -  2/3

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