$\lim\limits_{x\to 1}\dfrac{ \sqrt{3x-2}-1+1-\sqrt[3]{5x-4} }{(x-1)^2}$
$=\lim\limits_{x\to 1}\Big( \dfrac{3x-3}{(\sqrt{3x-2}+1)(x-1)^2} +\dfrac{5-5x}{(1+\sqrt[3]{5x-4}+\sqrt[3]{5x-4}^2)(x-1)^2}\Big)$
$=\lim\limits_{x\to 1}\Big(\dfrac{3}{(x-1)(\sqrt{3x-2}+1} -\dfrac{5}{(x-1)(1+\sqrt[3]{5x-4}+\sqrt[3]{5x-4}^2}\Big)$
$=\lim\limits_{x\to 1}\dfrac{1}{x-1}\Big( \dfrac{3}{\sqrt{3x-2}+1}-\dfrac{5}{1+\sqrt[3]{5x-4}+\sqrt[3]{5x-4}^2}\Big)$
$\to$ không tồn tại giới hạn
