Question

utilizando as propriedades de limites, calcule ...

( Resto do conteúdo na imagem )

Answer 1

$\large\boxed{\begin{array}{l}\rm Utilizando\,as\,propriedades\,dos\,limites,\\\displaystyle\rm calcule~\!\lim_{\,x \to -3}\dfrac{x^3-2x^2+5}{-x+1}.\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\boldsymbol{soluc_{\!\!,}\tilde ao:}}\\\displaystyle\sf\lim_{x \to -3}\dfrac{x^3-2x^2+5}{-x+1}\\\\\displaystyle\sf\dfrac{\displaystyle\lim_{x \to -3} x^3-\lim_{x \to -3}2x^2+\lim_{x \to -3}5}{\displaystyle\lim_{x \to -3} -x+\lim_{x \to -3}1}\\\\\sf\dfrac{(-3)^3-2\cdot(-3)^2+5}{-(-3)+1}=\dfrac{-27-18+5}{3+1}\\\\\sf\dfrac{-40}{4}=-10\end{array}}$