Question

Calcule, quando existirem, os limites abaixo: a. lim x→−2 2x 3 + 9x 2 + 12x + 4 −x 3 − 2x 2 + 4x + 8

Answer 1

$\lim_{x \to \ - 2}2 {x}^{3} + 9 {x}^{2} + 12x + 4 \\ - {x}^{3} - 2 {x}^{2} + 4x + 8 \\ \lim_{x \to \ - 2} {x}^{3} + 7 {x}^{2} + 16x + 12$

${( - 2)}^{3} + 7. {( - 2)}^{2} + 16.( - 2) +1 2 \\ = - 8 + 28 - 32 + 12 \\ = 20 - 20 = 0$