Pregunta: (d) limx→∞x3-3x+53x3-x2-1

Divide the numerator and denominator by the highest power of $\mathrm{x}$ in the denominator, which is ${\mathrm{x}}^3$ .

$\underset{\mathrm{x}\to \mathrm{\infty }}{lim}\left(\frac{\frac{{\mathrm{x}}^3}{{\mathrm{x}}^3}+\frac{-3\mathrm{x}}{{\mathrm{x}}^3}+\frac{5}{{\mathrm{x}}^3}}{\frac{3{\mathrm{x}}^3}{{\mathrm{x}}^3}-\frac{{\mathrm{x}}^2}{{\mathrm{x}}^3}-\frac{1}{{\mathrm{x}}^3}}\right)$

Evaluat...