$\displaystyle \begin{array}{{>{\displaystyle}l}} \lim _{x\rightarrow 2}\frac{\sqrt[3]{x-1} -\sqrt{5-x^{2}}}{x-1}\\ Ta\ có\ \lim _{x\rightarrow 2}\left(\sqrt[3]{x-1} -\sqrt{5-x^{2}}\right) =0\\ \ \ \ \ \ \ \ \ \ \ \lim _{x\rightarrow 2}( x-1) =1\\ \Rightarrow \lim _{x\rightarrow 2}\frac{\sqrt[3]{x-1} -\sqrt{5-x^{2}}}{x-1} =0 \end{array}$