Nếu \(\mathop {\lim }\limits_{x \to 1} \frac{{f\le...

Câu hỏi: Nếu \(\mathop {\lim }\limits_{x \to 1} \frac{{f\left( x \right) - 5}}{{x - 1}} = 2\) và \(\mathop {\lim }\limits_{x \to 1} \frac{{g\left( x \right) - 1}}{{x - 1}} = 3\) thì \(\mathop {\lim }\limits_{x \to 1} \frac{{\sqrt {f\left( x \right).g\left( x \right) + 4}  - 3}}{{x - 1}}\) bằng:

A. \(\frac{{17}}{6}\)

B. 17

C. 7

D. \(\frac{{23}}{7}\)