Pergunta
/(-3x^3)-5x-1)
b) lim _(xarrow 2)(x^3-2x^2+3x-2)
c) lim _(xarrow -1)(x^2-3x+5)/(x+3)](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202411%2F6-calculea-lim-xarrow-1sqrt-32x311x13x35x1b-lim-xarrow-tPT6fA1Hqn0R.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
6) Calcule: a) lim _(xarrow -1)sqrt [3]((2x^3-11x-1)/(-3x^3)-5x-1) b) lim _(xarrow 2)(x^3-2x^2+3x-2) c) lim _(xarrow -1)(x^2-3x+5)/(x+3)
Solução

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EdilsonMestre · Tutor por 5 anos
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Vamos corrigir e resolver cada uma das limitações:<br /><br />a) \(\lim_{x \rightarrow -1} \sqrt[3]{\frac{2x^3 - 11x - 1}{-3x^3 - 5x - 1}}\)<br /><br />Para resolver essa limitação, primeiro substituímos \(x = -1\) na expressão dentro da raiz cúbica:<br /><br />\[<br />\frac{2(-1)^3 - 11(-1) - 1}{-3(-1)^3 - 5(-1) - 1} = \frac{-2 + 11 - 1}{3 + 5 - 1} = \frac{8}{7}<br />\]<br /><br />A a raiz cúbica dessa fração:<br /><br />\[<br />\sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{8}{7}} = \sqrt[3]{\frac{
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