Question

Lim x -> -2 , x^3 + 8 / x+2 ….
JAWAB DENGAN BENAR DAN TEPAT JANGAN ASAL JAWAB

Answer 1

Gunakan pemfaktoran :
a³ + b³ = (a+b)(a²-ab+b²)
so,
lim x->-2  (x³+8)/(x+2)
= lim x->-2 (x³+2³)/(x+2)
= lim x->-2 (x+2)(x² - 2x + 2²)/(x+2)
cancel x+2,
=  lim x->-2 (x² - 2x + 4)
= (-2)² - 2(2) + 4
= 4 + 4 + 4
= 12

Answer 2

Cara 1:
Lim x -> -2 of (x³ + 8) / (x + 2)
= Lim x -> -2 of (x³ + 2³) / (x + 2)
= Lim x -> -2 of (x + 2)(x² - 2x + 4) / (x + 2)
= Lim x -> -2 of (x² - 2x + 4)
= (-2)² - 2(-2) + 4
= 4 + 4 + 4
= 12

Cara 2:
Gunakan turunan:
Lim x -> -2 of (x³ + 8) / (x + 2)
= Lim x -> -2 of 3x² / 1
= 3(-2)² / 1
= 12