lim x mendekati tak hingga (2x-3) - akar 4x² + 5x + 1 dan 4 nomer lainnya di foto. mohon bantuannya ya, mau dikumpulin nih teman.

Gunakan rumus cepatnya saja kak.
Lim x→∞ √ax²+bx+c - √ax²+px+q
= b-p/2√a

Lim x→∞ (2x-3) - √4x²+5x+1
= Lim x→∞ √(2x-3)² - √4x²+5x+1
= Lim x→∞ √4x²-12x+9 - √4x²+5x+1
= -12-5/2√4
= -17/4

Lim x→∞ (3x-1)-√9x²+5x-1
= Lim x→∞ √(3x-1)² - √9x²+5x+1
= Lim x→∞ √9x²-6x+1 - √9x²+5x+1
= -6-5/2√9
= -11/6

Lim x→∞ √4x²-13x-2 - (2x-4)
= Lim x→∞ √4x²-13x-² - √4x²-16x+16
= -13-(-16)/2√4
= 3/4

Lim x→∞ √4x²-13x-2 - (2x+4)
= Lim x→∞ √4x²-13x-2 - √4x²+16x+16
= -13-16/2√4
= -29/4

Lim x→=∞ √9x²-6x-2 - (3x+4)
= Lim x→∞ √9x²-6x-2 - √9x²+24x+16
= -6-24/2√9
= -30/6
= -5

Lim x→∞ √x²-6x-2 - (x-4)
= Lim x→∞ √x²-6x-2 - √x²-8x+16
= -6-(-8)/2√1
= 4/2
= 2