Tính lim x → x 0 [ 3 f ( x ) − 4 g ( x ) ] .

4/22

Cho giới hạn \(\mathop {\lim }\limits_{x \to {x_0}} f\left( x \right) = 2;\mathop {\lim }\limits_{x \to {x_0}} g\left( x \right) = 3\). Tính \(\mathop {\lim }\limits_{x \to {x_0}} \left[ {3f\left( x \right) - 4g\left( x \right)} \right]\).

−6.

Giải thích

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