\(lim\dfrac{6n^3-2n+3}{2n^3-3n^2-5n+1}=lim\dfrac{6-\dfrac{2}{n^2}+\dfrac{3}{n^3}}{2-\dfrac{3}{n}-\dfrac{5}{n^2}+\dfrac{1}{n^3}}=\dfrac{6-0+0}{2-0-0+0}=3\)
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