Tính giới hạn Lim căn {2x + 3}  - 3/2{x^2} - 7x + 3

\(\mathop {\lim }\limits_{x \to 3} \frac{{\sqrt {2x + 3} - 3}}{{2{x^2} - 7x + 3}}\)\( = \mathop {\lim }\limits_{x \to 3} \frac{{2x + 3 - 9}}{{\left( {\sqrt {2x + 3} + 3} \right)\left( {2x - 1} \right)\left( {x - 3} \right)}}\)\( = \mathop {\lim }\limits_{x \to 3} \frac{{2\left( {x - 3} \right)}}{{\left( {\sqrt {2x + 3} + 3} \right)\left( {2x - 1} \right)\left( {x - 3} \right)}}\)

                                                                               \( = \mathop {\lim }\limits_{x \to 3} \frac{2}{{\left( {\sqrt {2x + 3} + 3} \right)\left( {2x - 1} \right)}} = \frac{1}{{15}}\)