limit x mendekati tak hingga √x²+6x-9 - (x+5)

Kelas 11 Matematika
Bab Limit

Lim (√(x² + 6x - 9) - (x + 5))
x→∞

= lim (√(x² + 6x - 9) - √(x + 5)²)
   x→∞

= lim (√(x² + 6x - 9) - √(x² + 10x + 25))
   x→∞

a = 1; b = 6; c = -9; p = 1; q = 10; r = 25

Karena a = p = 1, maka

(b - q)/(2√a)
= (6 - 10)/(2 . √1)
= (-4)/2
= -2