${lim}_{x \to \infty} \frac{3 x^{2} + 6 x + 4}{2 x^{2} + x}$

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Solution

${lim}_{x \to \infty} \frac{3 x^{2} + 6 x + 4}{2 x^{2} + x} {lim}_{x \to \infty} \frac{3 + \frac{6}{x} + \frac{4}{x^{2}}}{2 + \frac{1}{x}} = \frac{3}{2}$

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