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Ta có:
$\mathop {\lim }\limits_{x \to \infty}\frac{(2x-3)^{20}.(3x-2)^{30}}{(5x-1)^{50}}$
$=\mathop
{\lim }\limits_{x \to \infty}\frac{\displaystyle (2-\frac{3}{x})^{20}.(3-\frac{2}{x})^{30}}{\displaystyle(5-\frac{1}{x})^{50}} $
$=\frac{2^{20}.3^{30}}{5^{50}}$
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