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[TEX]\Large \lim\frac{\sqrt{9x^2+2}-\sqrt[3]{6x^2+5}}{\sqrt[4]{16x^4+3}-\sqrt[5]{8x^4+7}}=\lim\frac{\sqrt{9+\frac{2}{x^2}}-\sqrt[3]{\frac{6}{x}+\frac{5}{x^3}}}{\sqrt[4]{16+\frac{3}{x^4}}-\sqrt[5]{\frac{8}{x}+\frac{7}{x^5}}}=\frac{3}{2}[/TEX]
 
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