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

\(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2-2}+\sqrt[3]{x^3+1}}{\sqrt{x^2+1}-x}\)

\(\lim\limits_{x\rightarrow-\infty}\dfrac{2x+3}{\sqrt{2x^2-3}}\)

\(\lim\limits_{x\rightarrow\pm\infty}\dfrac{2x^2-1}{3-x^2}\)

\(\lim\limits_{x\rightarrow-\infty}\left(3x^3+5x^2-9\sqrt{2}x-2017\right)\)

\(\lim\limits_{x\rightarrow+\infty}\left(\sqrt{x^2+x+1}-\sqrt[3]{2x^3+x-1}\right)\)

\(\lim\limits_{x\rightarrow-\infty}\left(x-\sqrt{x^2+x+1}\right)\)

\(\lim\limits_{x\rightarrow-\infty}\left(\sqrt[3]{x^3+x^2+1}+\sqrt{x^2+x+1}\right)\)

\(\lim\limits_{x\rightarrow+\infty}\dfrac{x\sqrt{x^2+1}+2x+1}{\sqrt[3]{2x^3+x+1}+x}\)

\(\lim\limits_{x\rightarrow1}\dfrac{\sqrt{2x^2-x+1}-\sqrt[3]{2x+3}}{3x^2-2}\)

\(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{4x^2+x}+\sqrt[3]{8x^3+x-1}}{\sqrt[4]{x^4+3}}\)

\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt[3]{x+5}-2}{x^2-4x+3}\)

\(\lim\limits_{x\rightarrow5}\dfrac{\sqrt{3x+1}-4}{3-\sqrt{x+4}}\)

\(\lim\limits_{x\rightarrow1}\dfrac{x^3-3x^2+2}{x^2-4x+3}\)

\(\lim\limits_{x\rightarrow1^-}\dfrac{x^2+3x+2}{\left|x+1\right|}\)

\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt[3]{x+5}-2}{x^2-4x+3}\)

\(\lim\limits_{x\rightarrow1^+}\dfrac{x^2-x+1}{x^2-1}\)

\(\lim\limits_{x\rightarrow0}\dfrac{2\sqrt{1+x}-\sqrt[3]{8-x}}{x}\)

\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{x+6}-3}{\sqrt{2x-2}-2}\)

\(\lim\limits_{x\rightarrow1^+}\dfrac{\sqrt{x^3-x^2}}{\sqrt{x-1}+1-x}\)

\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{x^2+x}-2\sqrt{3}}{x-3}\)

\(\lim\limits_{x\rightarrow-2}\dfrac{x^4+8x}{x^3+2x^2+x+2}\)

\(\lim\limits_{x\rightarrow-4}\dfrac{x^2+3x-4}{x^2+4x}\)

\(\lim\limits_{x\rightarrow1^+}\dfrac{\sqrt{x^2-x+3}}{2\left|x\right|-1}\)