Nilai lim x → 2 3x²-18x+24/x²+2x-8​

Jawab:

Penjelasan dengan langkah-langkah:

3x² – 18x + 24 = 3(x² – 6x + 8)

= 3(x – 2) (x – 4)

x² + 2x – 8 = (x + 4) (x – 2)

(3x² – 18x + 24) / (x² + 2x – 8) = 3(x – 2)(x – 4) / (x – 2)(x + 4)

= 3(x – 4) / (x + 4)

Lim x->2 {3(x – 4)/(x + 4)} = 3(2 – 4)/(2 + 4) = -6/6 = -1