Question

$lim( \frac{ {x}^{3} + 1 }{ {x}^{2} - 1 } )$
​

Answer 1

Caso tenha problemas para visualizar a resposta experimente abrir pelo navegador https://brainly.com.br/tarefa/33916277?answering=true&answeringSource=feedPublic%2FhomePage%2F8

$\displaystyle\sf \lim_{x \to -1}\dfrac{x^3+1}{x^2-1}\\\displaystyle\sf \lim_{x \to -1}\dfrac{\diagup\!\!\!\!\!(x\diagup\!\!\!+\diagup\!\!\!\!1)\cdot(x^2-x+1)}{\diagup\!\!\!\!\!(x\diagup\!\!\!\!+\diagup\!\!\!\!1)\cdot(x-1)}\\\displaystyle\sf \lim_{x \to -1}\dfrac{x^2-x+1}{x-1}=-\dfrac{3}{2}\checkmark$