Question

lim x³-6x-9 / x³-8x-3
x -> 3

Answer 1

Explicação passo-a-passo:

$\sf \lim_{x\to~3}~\dfrac{x^3-6x-9}{x^3-8x-3}$

$\sf =\lim_{x\to~3}=\dfrac{(x-3)\cdot(x^2+3x+3)}{(x-3)\cdot(x^2+3x+1)}$

$\sf =\lim_{x\to~3}~\dfrac{x^2+3x+3}{x^2+3x+1}$

$\sf =\dfrac{3^2+3\cdot3+3}{3^2+3\cdot3+1}$

$\sf =\dfrac{9+9+3}{9+9+1}$

$\sf =\dfrac{21}{19}$