Cho các giới hạn: Lim f(x) = 2

17/38

Cho các giới hạn: \(\mathop {\lim }\limits_{x \to {x_0}} {\mkern 1mu} f\left( x \right) = 2\); \(\mathop {\lim }\limits_{x \to {x_0}} {\mkern 1mu} g\left( x \right) = 3\), hỏi \(\mathop {\lim }\limits_{x \to {x_0}} {\mkern 1mu} \left[ {3f\left( x \right) - 4g\left( x \right)} \right]\) bằng

\(3\).

\(2\).

\( - 6\).

\(5\).

Giải thích

Chọn C

Ta có \(\mathop {\lim }\limits_{x \to {x_0}} {\mkern 1mu} \left[ {3f\left( x \right) - 4g\left( x \right)} \right] = 3\mathop {\lim }\limits_{x \to {x_0}} {\mkern 1mu} f\left( x \right) - 4\mathop {\lim }\limits_{x \to {x_0}} g\left( x \right) = 3.2 - 4.3 = - 6\).