Tính giới hạn lim x → − 3 − 2 x 2 + 5 x − 3 ( x + 3 ) 2 .

D

\(\mathop {\lim }\limits_{x \to  - {3^ - }} \frac{{2{x^2} + 5x - 3}}{{{{\left( {x + 3} \right)}^2}}}\)\( = \mathop {\lim }\limits_{x \to  - {3^ - }} \frac{{\left( {x + 3} \right)\left( {2x - 1} \right)}}{{{{\left( {x + 3} \right)}^2}}}\)\( = \mathop {\lim }\limits_{x \to  - {3^ - }} \frac{{2x - 1}}{{x + 3}} =  + \infty \).