lim x → ∞ ( √x²-5x ) -x-2 =

Lim √(x² - 5x) - x - 2
x=>~

Lim √(x² - 5x) - (x + 2)
x=>~

Lim √(x² - 5x) - √(x + 2)²
x=>~

Lim √(x² - 5x) - √(x² + 4x + 4)
x=>~
a = 1, b = -5, p = 1, q = 4, r = 4
Karena a = p maka Nilai limit = (b - q)/(2√a) = (-5 - 4)/(2√1) = -9/2 = -4 1/2

Mapel : Matematika
Kelas : XI SMA
Bab : Limit

Pembahasan :
Lim [x » ~] √(x² - 5x) - (x + 2)
Lim [x » ~] √(x² - 5x) - √(x + 2)²
Lim [x » ~] √(x² - 5x) - √(x² + 4x + 4)

Karena a = p = 1
Maka...
= (b - q)/2√a
= (-5 - 4)/2√1
= -9/2