I'm given this question $$\lim_{x\rightarrow -\infty }\left(\sqrt{x}-\frac{2+x}{\sqrt{x}}\right) $$
My attempt,
$\lim_{x\rightarrow -\infty }(\sqrt{x}-\frac{2+x}{\sqrt{x}})=\lim_{x\rightarrow -\infty }(-\frac{2}{\sqrt{x}})$
How to I substitute negative infinity to square root of $x$? Wouldn't it be an imaginary number ?