Limit x→∞  √[x(x + 2)] - √(x2 - 2) =

Bab Limit
Matematika SMA Kelas XI

lim (√(x (x + 2)) - √(x² - 2))
x→∞
= lim (√(x² + 2x) - √(x² - 2))
  x→∞
a = 1; b = 2; c = 0; p = 1; q = 0; r = -2.
karena a = p = 1, maka,

(b - q)/(2√a)
= (2 - 0) / (2√1)
= 2/2
= 1