$\mathop {\lim }\limits_{x \to  - 1} \sqrt {{{\left( {{x^2} + 1} \right)\left( {1 - 2x} \right)} \over {{x^2} + x + 1}}}$       

$\mathop {\lim }\limits_{x \to 11} \root 3 \of {{{{x^2} - 9x - 22} \over {\left( {x - 11} \right)\left( {{x^2} - 3x + 16} \right)}}}$

$\mathop {\lim }\limits_{x \to  + \infty } \sqrt {2{x^3} - {x^2} + 10}$  

 $\mathop {\lim }\limits_{x \to {{\left( { - 4} \right)}^ - }} \left( {{2 \over {{x^2} + 3x - 4}} - {3 \over {x + 4}}} \right).$