Giới hạn lim x → + ∞ √ x 2 + 2 − 2 x − 2 bằng
Giải thích
B
\(\mathop {\lim }\limits_{x \to + \infty } \frac{{\sqrt {{x^2} + 2} - 2}}{{x - 2}}\)\( = \mathop {\lim }\limits_{x \to + \infty } \frac{{x\sqrt {1 + \frac{2}{{{x^2}}}} - 2}}{{x - 2}}\)\( = \mathop {\lim }\limits_{x \to + \infty } \frac{{\sqrt {1 + \frac{2}{{{x^2}}}} - \frac{2}{x}}}{{1 - \frac{2}{x}}} = 1\).