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$\lim_{x\to\infty}\left(\sqrt[3]{\frac{\pi x^3+3x}{\sqrt{2}x^3+7x}}\right)$

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Final answer to the exercise

$\lim_{x\to\infty }\left(\sqrt[3]{\frac{\pi x^2+3}{\sqrt{2}x^2+7}}\right)$

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