Cho hàm số \(f\left( x \right) = \frac{{\sqrt {4x...

Câu hỏi: Cho hàm số $f\left( x \right) = \frac{{\sqrt {4x + 1}  - 3}}{{x - 2}}$. Tính $\mathop {\lim }\limits_{x \to 2} f\left( x \right).$

A. $\mathop {\lim }\limits_{x \to 2} f\left( x \right) =  - \frac{2}{3}.$

B. $\mathop {\lim }\limits_{x \to 2} f\left( x \right) =  - \frac{3}{2}.$

C. $\mathop {\lim }\limits_{x \to 2} f\left( x \right) = \frac{2}{3}.$

D. $\mathop {\lim }\limits_{x \to 2} f\left( x \right) = \frac{3}{2}.$