Tính các giới hạn
a) \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt[3]{x^3+2x^2-4x+1}}{\sqrt{2x^2+x-8}}\)
b) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-2x+4}-x}{3x-1}\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow+\infty}\dfrac{x-2}{3-\sqrt{x^2+7}}\)
b, \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-x}-\sqrt{4x^2+1}}{2x+3}\)
Tìm giới hạn:
a, \(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt{x^2+x+2}}{x-1}\)
b, \(\lim\limits_{x\rightarrow-\infty}\left(\sqrt{4x^2-x}+2x\right)\)
Tính các giới hạn
a) \(\lim\limits_{x\rightarrow+\infty}\dfrac{x+\sqrt{x^2+x-10}}{2x+3}\)
b) \(\lim\limits_{x\rightarrow+\infty}\dfrac{3x^2+\sqrt{x^2+x-10}}{\sqrt{x^3+x^2-3x-x^2+3}}\)
\(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2+5x}+\sqrt{4x^2-x}+3x}{\sqrt{4x^2-7x}+2x}\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{2x\left(\sqrt{4x^2-2x}+\sqrt[3]{3x^2-8x^3}\right)}{5x-1}\)
tìm giới hạn
\(\lim\limits_{x\rightarrow-\infty}\frac{\sqrt{x^2+2x}+3x}{\sqrt{4x^2+1}-x+3}\)
Tính giới hạn
a) \(\lim\limits_{x\rightarrow-\infty}\dfrac{x+3}{3x-1}=\dfrac{1}{3}\)
b) \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-2x+4}-x}{3x-1}\)
tìm giới hạn \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{4x^2+2x-1}-x}{3x-2}\)