Matematika

Pertanyaan

Tentukan hasil dari
1. Lim √x-4 per x-16
x->16
2. Lim x per 2 - √4-x
x->0

1 Jawaban

  • lim Vx -4 / x - 16
    = lim Vx - 4 / (Vx -4)(Vx + 4)
    = lim 1 / Vx + 4
    = V16 +4
    = 4 + 4
    = 8
    2) lim x / 2 - V(4-x)
    = lim x ( 2 + V(4-x) / (2 -V(4-x) ( 2 + V(4-x)
    = lim x (2 +V(4-x) / (4 - (4-x)
    = lim x (2 + V(4-x) / x
    = lim (2 + V(4-x)
    = 2 + V(4-0)
    = 2 + V4
    = 2 + 2
    = 4

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