Question

POR FAVOR URGENTE, LIMETES AO INFINITO

$\lim_{x \to +\infty} \frac{x \sqrt{x} +3x - 10}{ x^{3} }$

Answer 1

$\lim_{x\rightarrow\infty}\frac{x\sqrt{x}+3x-10}{x^3}=\\\\\\\lim_{x\rightarrow\infty}\frac{\sqrt{x^3}+3x-10}{x^3}=\\\\\\\lim_{x\rightarrow\infty}\frac{x^{\frac{3}{2}}+3x-10}{x^3}=\\\\\\\lim_{x\rightarrow\infty}\frac{x^3(x^{-\frac{3}{2}}+\frac{3}{x^2}-\frac{10}{x^3})}{x^3}=\\\\\\\lim_{x\rightarrow\infty}(\frac{1}{x^{\frac{3}{2}}}+\frac{3}{x^2}-\frac{10}{x^3})=\\\\0+0-0=\\\\\boxed{0}$