limit x menuju tak hingga (√x(4x+5)-2x+1)= Tolong d bantu ya!

Lim (√4x² + 5x) - 2x + 1)
x→~

Lim √4x² + 5x - (2x - 1)
x→~

Lim 4x² + 5x - (2x - 1)²
x→~ .. / √4x² + 5x + 2x - 1

Lim 4x² + 5x - (4x² - 4x + 1)
x→~ .. / √4x² + 5x + 2x - 1

Lim 4x² + 5x - 4x² + 4x - 1
x→~ .. / √x² (4 + 5/x) + 2x - 1

Lim 9x - 1
x→~ .. / x (√4 + 5/x) + x (2 - 1/x)

Lim x (9 - 1/x)
x→~ .. / x (√4 + 5/x) + x (2 - 1/x)

Lim 9 - 1/x
x→~ .. / √4 + 5/x + 2 - 1/x

= 9 / √4 + 0 + 2 - 0

= 9 / √4 + 2

= 9 / 2 + 2

= 9/4

Bab Limit
Matematika SMA Kelas XI

lim (√(x (4x + 5)) - 2x + 1)
x→∞
= lim (√(4x² + 5x) - √(2x - 1)²)
 x→∞
= lim
  x→∞ (√(4x² + 5x) - √(4x² - 4x + 1))
a = 4; b = 5; c = 0; p = 4; q = -4; r = 1
karena a = p = 4, maka

(b - q) / (2√a)
= (5 - (-4)) / (2√4)
= 9 / (2 . 2)
= 9/4