Tính giới hạn lim x → + ∞ ( 1 − x ) ( 1 − x ^2 ) ( 1 − x^ 3 ) .

\(\mathop {\lim }\limits_{x \to + \infty } (1 - x)\left( {1 - {x^2}} \right)\left( {1 - {x^3}} \right) = \mathop {\lim }\limits_{x \to + \infty } {x^6}\left( {\frac{1}{x} - 1} \right)\left( {\frac{1}{{{x^2}}} - 1} \right)\left( {\frac{1}{{{x^3}}} - 1} \right) = - \infty \).