lim(x⇒∞) (4*x³+x²-2)/(3*x²+5*x-2)=lim(x⇒∞) x²*(4*x+1-2/x²)/[x²*(3+5/x-2/x²=lim(x⇒∞) (4*x+1-2/x²)/(3+5/x-2/x²)=(4*∞+1-0)/(3+0-0)=∞/3=∞. Ответ: ∞.
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lim(x⇒∞) (4*x³+x²-2)/(3*x²+5*x-2)=lim(x⇒∞) x²*(4*x+1-2/x²)/[x²*(3+5/x-2/x²=lim(x⇒∞) (4*x+1-2/x²)/(3+5/x-2/x²)=(4*∞+1-0)/(3+0-0)=∞/3=∞. Ответ: ∞.