Tính các giới hạn sau: lim x suy ra 3 ((-x^2 + 4x - 3) / (x^2 + 3v - 18))
Tính các giới hạn sau:
\(\mathop {\lim }\limits_{x \to 3} \frac{{ - {x^2} + 4x - 3}}{{{x^2} + 3x - 18}}\).
\(\mathop {\lim }\limits_{x \to 3} \frac{{ - {x^2} + 4x - 3}}{{{x^2} + 3x - 18}}\)\( = \mathop {\lim }\limits_{x \to 3} \frac{{\left( {x - 1} \right)\left( {3 - x} \right)}}{{\left( {x + 6} \right)\left( {x - 3} \right)}}\)\( = \mathop {\lim }\limits_{x \to 3} \frac{{ - \left( {x - 1} \right)}}{{x + 6}} = \frac{{ - 2}}{9}\).