kak tolong kerjakan soal limit. gampang kak. tolong y kak

Lim (3x^2 + ax + a + 3)/(x^2 - x - 2)
x=>2

Lim (3x^2 + ax + a + 3)/(x - 2)(x + 1)
x=>2

Agar nilai limit tersebut ada maka 3x^2 + ax + a + 3 akan menghasilkan 0 untuk x = 2
=> 3(2)^2 + a(2) + a + 3 = 0
=> 12 + 2a + a + 3 = 0
=> 15 + 3a = 0
=> 3a = -15
=> a = -5

Lim (3x^2 + ax + a + 3)/(x^2 - x - 2)
x=>2

Lim (3x^2 + (-5)x + (-5) + 3)/(x^2 - x - 2)
x=>2

Lim (3x^2 - 5x - 2)/(x^2 - x - 2)
x=>2

Lim (3x + 1)(x - 2)/(x - 2)/(x + 1)
x=>2

Lim (3x + 1)/(x + 1)
x=>2

= (3(2) + 1)/(2 + 1)

= 7/3

= 2 1/3

= 2,3333..

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