[tex]=lim(x\rightarrow -\infty)\frac{\left | x \right |\sqrt{1-\frac{1}{x}}+2x}{3-4\left | x \right |}=lim(x\rightarrow -\infty) \frac{-x\sqrt{1-\frac{1}{x}}+2x}{3+4x}=lim(x\rightarrow -\infty) \frac{-\sqrt{1-\frac{1}{x}}+2}{\frac{3}{x}+4}=\frac{1}{4}[/tex]