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lim_{xrightarrow infty }frac{2x^2+5x+7}{3x^4-2x^2+x}=lim_{xrightarrow infty }frac{frac{2}{x^2}+frac{5}{x^3}+frac{7}{x^4}}{3-frac{2}{x^2}+frac{1}{x^3}}=frac{0}{3}=0

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