Tính $\mathop {\lim }\limits_{x \to 0} \frac{{1 - \sqrt[3]{{x + 1}}}}{{3x}}$bằng?

Cho biết $\mathop {\lim }\limits_{x \to {x_0}} f\left( x \right) = 2$.Tính  $L = \mathop {\lim }\limits_{x \to {x_0}} \frac{{\sqrt {f\left( x \right) + 2} - f\left( x \right)}}{{f\left( x \right) - 2}}$

Cho a,b là các số nguyên và $\mathop {\lim }\limits_{x \to 1} \frac{{a{x^2} + bx - 5}}{{x - 1}} = 20$. Tính $P = {a^2} + {b^2} - a - b$

Tính $\mathop {\lim }\limits_{x \to - \infty } x\sqrt {\frac{{3x + 2}}{{2{x^3} + {x^2} - 1}}}$ bằng?

Tính$\mathop {\lim }\limits_{x \to - \infty } (x - 1)\sqrt {\frac{{{x^2}}}{{2{x^4} + {x^2} + 1}}}$ bằng?

Tính $\mathop {\lim }\limits_{x \to - 1} \left( {{x^2} - x + 7} \right)$bằng?

Tính $\mathop {\lim }\limits_{x \to - \infty } \frac{{3{x^2} - 2x - 1}}{{{x^2} + 1}}$ bằng?

Tính $\mathop {\lim }\limits_{x \to 3} \frac{{{x^2} - 4x + 3}}{{{x^2} - 9}}$bằng?