$\mathop {\lim }\limits_{x \to 2} {{{x^3} - 8} \over {{x^2} - 4}}$

 $\mathop {\lim }\limits_{x \to {{\left( { - 3} \right)}^ + }} {{2{x^2} + 5x - 3} \over {{{\left( {x + 3} \right)}^2}}}$

 $\mathop {\lim }\limits_{x \to {{\left( { - 3} \right)}^ - }} {{2{x^2} + 5x - 3} \over {{{\left( {x + 3} \right)}^2}}}$

$\mathop {\lim }\limits_{x \to 0} {{\sqrt {{x^3} + 1} - 1} \over {{x^2} + x}}$