Qual o Limite de raiz cubica((3x³ - 5x² - x + 2) / (4x + 3)) qdo x->-2
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![\\ \mathsf{\lim_{x \to - 2} \sqrt[3]{\mathsf{\frac{3x^3 - 5x^2 - x + 2}{4x + 3}}} =} \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{3(- 2)^3 - 5 \cdot (- 2)^2 - (- 2) + 2}{4 \cdot (- 2) + 3}}}= } \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{- 24 - 20 + 2 + 2}{- 8 + 3}}} =} \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{- 40}{- 5}}} =} \\\\\\ \mathsf{\sqrt[3]{8} =} \\\\\\ \boxed{\mathsf{2}}](https://tex.z-dn.net/?f=%5C%5C+%5Cmathsf%7B%5Clim_%7Bx+%5Cto+-+2%7D+%5Csqrt%5B3%5D%7B%5Cmathsf%7B%5Cfrac%7B3x%5E3+-+5x%5E2+-+x+%2B+2%7D%7B4x+%2B+3%7D%7D%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Csqrt%5B3%5D%7B%5Cmathsf%7B%5Cfrac%7B3%28-+2%29%5E3+-+5+%5Ccdot+%28-+2%29%5E2+-+%28-+2%29+%2B+2%7D%7B4+%5Ccdot+%28-+2%29+%2B+3%7D%7D%7D%3D+%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Csqrt%5B3%5D%7B%5Cmathsf%7B%5Cfrac%7B-+24+-+20+%2B+2+%2B+2%7D%7B-+8+%2B+3%7D%7D%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Csqrt%5B3%5D%7B%5Cmathsf%7B%5Cfrac%7B-+40%7D%7B-+5%7D%7D%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Csqrt%5B3%5D%7B8%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cboxed%7B%5Cmathsf%7B2%7D%7D "\\ \mathsf{\lim_{x \to - 2} \sqrt[3]{\mathsf{\frac{3x^3 - 5x^2 - x + 2}{4x + 3}}} =} \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{3(- 2)^3 - 5 \cdot (- 2)^2 - (- 2) + 2}{4 \cdot (- 2) + 3}}}= } \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{- 24 - 20 + 2 + 2}{- 8 + 3}}} =} \\\\\\ \mathsf{\sqrt[3]{\mathsf{\frac{- 40}{- 5}}} =} \\\\\\ \mathsf{\sqrt[3]{8} =} \\\\\\ \boxed{\mathsf{2}}")
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