Kak tolong bantu jawabin dong kak plis

Kak tolong bantu jawabin dong kak plis

Penjelasan dengan langkah-langkah:

$= lim limits _{x to infty } sqrt{(x + a)(x + b) - x}$

$= lim limits _{x to infty } sqrt{ {x}^{2} + bx + ax + ab - x }$

$= lim limits _{x to infty } sqrt{ {x}^{2} + ax + bx - x + ab }$

$= lim limits _{x to infty } sqrt{ {x}^{2} + (a + b - 1)x + ab }$

$= sqrt{lim limits _{x to infty } {x}^{2} + lim limits _{x to infty }(a + b - 1)x + lim limits _{x to infty } ab }$

$= sqrt{ { infty }^{2} +lim limits _{x to infty }(a + b - 1) times lim limits _{x to infty }x + ab}$

$= sqrt{ infty + (a + b - 1) times infty + ab}$

$= sqrt{ infty + infty + ab}$

$= infty$