Tìm giới hạn \(B=\lim \limits_{x \rightarrow+\inft...

B

- Hướng dẫn giải

\(\begin{array}{l} B=\lim \limits_{x \rightarrow+\infty} \frac{x^{2}\left(\sqrt{\left.1+\frac{1}{x^{2}}-\frac{2}{x}+\frac{1}{x^{2}}\right)}\right.}{x\left(\sqrt[3]{2-\frac{2}{x^{3}}}+\frac{1}{x}\right)}=\frac{x\left(\sqrt{\left.1+\frac{1}{x^{2}}-\frac{2}{x}+\frac{1}{x^{2}}\right)}\right.}{\sqrt[3]{2-\frac{2}{x^{3}}+\frac{1}{x}}}=+\infty \\ \text { (do tử } \rightarrow+\infty, \text { mẫu } \rightarrow \sqrt[3]{2}) \end{array}\)