Cho f(x) = 2x + 5,g(x)= {x^2} + 1. Giá trị

30/38

Cho \[f\left( x \right) = 2x + 5;\,g\left( x \right) = {x^2} + 1\]. Giá trị của \[\mathop {\lim }\limits_{x \to 2} \frac{{f\left( x \right)}}{{g\left( x \right)}}\]bằng

\[\frac{5}{9}\].

\[6\].

\[3\].

\[\frac{9}{5}\].

Giải thích

Chọn D

\[\mathop {\lim }\limits_{x \to 2} \frac{{f\left( x \right)}}{{g\left( x \right)}} = \mathop {\lim }\limits_{x \to 2} \frac{{2x + 5}}{{{x^2} + 1}} = \mathop {\lim }\limits_{x \to 2} \frac{9}{5} = \frac{9}{5}\]