nilai lim x mendekati tak hingga dari [√(9x²-12x-8) - 3x-2] adalah? (UAS 2014)

-12-12/2✓9
=-24/2×3
-24/6
=4

Bab Limit
Matematika SMA Kelas XI

lim (√(9x² - 12x - 8) - 3x - 2)
x→∞
= lim (√(9x - 12x - 8) - (3x + 2))
  x→∞
= lim (√(9x - 12x - 8) - √(3x + 2)²)
   x→∞
= lim (√(9x - 12x - 8) - √(9x² + 12x + 4))
  x→∞
a = 9; b = -12; c = -8; p = 9; q = 12; r = 4.
karena a = p = 9, maka

(b - q) / (2 √a)
= (-12 - 12) / (2 √9)
= -24 / (2 . 3)
= -4