Biết \(\mathop {\lim }\limits_{x \to 2} f(x) = 3.\)Tính \(\mathop {\lim }\limits_{x \to 2} \left[ {f\left( x \right) + x} \right].\)

* Hướng dẫn giải

\(\begin{array}{l}\mathop {\lim }\limits_{x \to 2} \left[ {f\left( x \right) + x} \right]\\ = \mathop {\lim }\limits_{x \to 2} f\left( x \right) + \mathop {\lim }\limits_{x \to 2} x\\ = 3 + 2 = 5\end{array}\).