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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)

Pergunta

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)

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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