Question

Answer 1

\(=\lim\limits_{x\rightarrow-\infty}\dfrac{\left|x\right|\sqrt{\dfrac{4x^2}{x^2}+\dfrac{2x}{x^2}-\dfrac{1}{x^2}}-x}{3x-2}=\lim\limits_{x\rightarrow-\infty}\dfrac{-\sqrt{4}-1}{3}=-1\)

Answer 2

\(\lim_\limits{x \to -\infty}\dfrac{\sqrt{4x^2+2x-1}-x}{3x-2}\\=\lim_\limits{x \to -\infty}\dfrac{\sqrt{4+\dfrac{2}{x}-\dfrac{1}{x^2}}-1}{3-\dfrac{2}{x}}\\=\dfrac{\sqrt{4+0-0}-1}{3-0}\\=\dfrac{1}{3}\)

`=>` A.