![\lim_{x\rightarrow - \infty}(\sqrt[3]{x^7}+ x)/\sqrt[3]{x^2}- 1](/latexrender/pictures/8c36bbe16b753894dec8c05751247414.png "\lim_{x\rightarrow - \infty}(\sqrt[3]{x^7}+ x)/\sqrt[3]{x^2}- 1")
socorro? kkkk
Tentei transformar as raizes em potencias e resolver pela regra do polonimio, mas nao deu certo... o que devo fazer?
por beel » Ter Set 06, 2011 13:48
por Neperiano » Ter Set 06, 2011 14:44
por MarceloFantini » Ter Set 06, 2011 18:18
![\lim_{x \to - \infty} \frac{\sqrt[3]{x^7} + x}{\sqrt[3]{x^2} +1} = \lim_{x \to - \infty} \frac{\sqrt[3]{x^7}}{\sqrt[3]{x^2}} \cdot \frac{(1 + x^{\frac{-4}{7}})}{(1 + x^{\frac{-2}{3}})} = \lim_{x \to - \infty} \sqrt[3]{x^5} \cdot \frac{(1 + x^{\frac{-4}{7}})}{(1 + x^{\frac{-2}{3}})}](/latexrender/pictures/d81be51a615fdfeec6b7e4ff225bd7c7.png "\lim_{x \to - \infty} \frac{\sqrt[3]{x^7} + x}{\sqrt[3]{x^2} +1} = \lim_{x \to - \infty} \frac{\sqrt[3]{x^7}}{\sqrt[3]{x^2}} \cdot \frac{(1 + x^{\frac{-4}{7}})}{(1 + x^{\frac{-2}{3}})} = \lim_{x \to - \infty} \sqrt[3]{x^5} \cdot \frac{(1 + x^{\frac{-4}{7}})}{(1 + x^{\frac{-2}{3}})}")
por beel » Sex Set 09, 2011 16:52
![\lim_{x\rightarrow - \infty\frac{\sqrt[3]{x^7} ( 1 - x^\frac{4}{3})}{ \sqrt[3]{x^2}(1 - x^\frac{1}{3})}](/latexrender/pictures/eca3683889879a584e2ad9ea195fd635.png "\lim_{x\rightarrow - \infty\frac{\sqrt[3]{x^7} ( 1 - x^\frac{4}{3})}{ \sqrt[3]{x^2}(1 - x^\frac{1}{3})}")
??![\sqrt[3]{x^7}](/latexrender/pictures/2bf748173798842890d451da0ec5f7bd.png "\sqrt[3]{x^7}")
( raiz do maior coeficiente) deu 1...Voltar para Cálculo: Limites, Derivadas e Integrais
por roberto_trebor » Sáb Fev 15, 2014 20:45
Usuários navegando neste fórum: Nenhum usuário registrado e 5 visitantes
![\frac{\sqrt[]{\sqrt[4]{8}+\sqrt[]{\sqrt[]{2}-1}}-\sqrt[]{\sqrt[4]{8}-\sqrt[]{\sqrt[]{2}-1}}}{\sqrt[]{\sqrt[4]{8}-\sqrt[]{\sqrt[]{2}+1}}}](/latexrender/pictures/981987c7bcdf9f8f498ca4605785636a.png "\frac{\sqrt[]{\sqrt[4]{8}+\sqrt[]{\sqrt[]{2}-1}}-\sqrt[]{\sqrt[4]{8}-\sqrt[]{\sqrt[]{2}-1}}}{\sqrt[]{\sqrt[4]{8}-\sqrt[]{\sqrt[]{2}+1}}}")
![\sqrt[]{2}](/latexrender/pictures/f21662d1cabab6e8b273a4b6f1cd663a.png "\sqrt[]{2}")
(dica : igualar a expressão a 
e elevar ao quadrado os dois lados)![\sqrt[]{x^7}](/latexrender/pictures/b08fd7295a76ca14a97245210e7e6c37.png "\sqrt[]{x^7}")
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