Giới hạn \(\mathop {\lim }\limits_{x \to 2018} \frac{{{x^2} - 2019x + 2018}}{{x - 2018}}\) bằng

* Hướng dẫn giải

Ta có \(\mathop {\lim }\limits_{x \to 2018} \frac{{{x^2} - 2019x + 2018}}{{x - 2018}}\)\( = \mathop {\lim }\limits_{x \to 2018} \frac{{\left( {x - 2018} \right)\left( {x - 1} \right)}}{{x - 2018}}\)  \( = \mathop {\lim }\limits_{x \to 2018} \left( {x - 1} \right)\) \( = 2018 - 1 = 2017\)