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faktor pembilang ( x-2 ) (x+10)
faktor penyebut (x-2)(x+3)
eliminasi jadi (x+10)/(x+3) = q
substitusi nilai limit (x=2)
12/4 = q = 3
maka p = -2 * 10 = -20
p+q = -17

Lim (x^2 + 8x + p)/(x^2 - 4)
Jika kita substitusi x = 2 maka hasilnya 0/0
(2^2 + 8(2) + p)/(2^2 - 4) = 0/0
(4 + 16 + p)/0 = 0/0
20 + p = 0
p = -20

Lim (x^2 + 8x - 20)/(x^2 - 4) = q
Lim (x + 10)(x - 2)/(x + 2)(x - 2) = q
Lim (x + 10)/(x + 2) = q
(2 + 10)/(2 + 2) = q
12/4 = q
q = 3

p + q = -20 + 3 = -17