limx→ ∞ x³-x/x⁴-2x+1
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[tex]\lim_{x \to \infty} \frac{x^3-x}{x^4-2x+1} \\ \lim_{n \to \infty} \frac{x^3-x}{x^4-2x+1}\times\frac{\frac{1}{x^4} }{\frac{1}{x^4} } \\ \lim_{n \to \infty} \frac{\frac{x^3}{x^4} -\frac{x}{x^4} }{\frac{x^4}{x^4}-\frac{2x}{x^4} } \\ \lim_{n \to \infty} \frac{\frac{1}{x} -\frac{1}{x^3} }{1-\frac{2}{x^3} } \\\lim_{n \to \infty} \frac{0-0}{1-0} \\=0[/tex]
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