Bài 2: Giới hạn của hàm số

\(f\left(x\right)=\left\{{}\begin{matrix}\dfrac{1}{x-1}-\dfrac{3}{x^3-1}\Leftrightarrow x>1\\mx+2\Leftrightarrow x\le1\end{matrix}\right.\)

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

\(\lim\limits_{x\rightarrow1}\left(\dfrac{n}{1-x^n}-\dfrac{1}{1-x}\right)\)

\(\lim\limits_{x\rightarrow0}\dfrac{-\sqrt{4x+1}.\sqrt{7x+1}}{4x^2.4x}\)

Tìm \(\lim\limits_{x\rightarrow0}\dfrac{1-c\text{os}3x.c\text{os}7x}{sin3x}\)

\(\lim_{x\to -\infty} ((2x+1)^2+4\sqrt{x^2+4}\sqrt[3]{x^3+3x^2})\)

tính \(\lim\limits_{x\rightarrow0}\dfrac{\sin x-\sqrt{3}\cos5x}{3x}\)

\(\overset{lim}{x\rightarrow6}\dfrac{\sqrt{x+3}+\sqrt[3]{4x+3}}{x-6}\)