Biết \[\mathop {\lim }\limits_{x \to 0} f\left( x \right) = 1,\mathop {\lim }\limits_{x \to 0} g\left( x \right) = \infty \] và \[\mathop {\lim }\limits_{x \to 0} g\left( x \right)\left( {f\left( x \right) - 1} \right) = 2019\]. Tính \[I = \mathop {\lim }\limits_{x \to 0} f{\left( x \right)^{g\left( x \right)}}\].

A. 𝐿 = 5 (𝑚).

B. 𝐿 = 4 (𝑚).

C. \[L = 4\sqrt 2 \left( m \right)\]

D. \[L = \frac{7}{2}\left( m \right)\]

A. 𝑡 = 8 (ℎ).

B. 𝑡 = 10 (ℎ).

C. 𝑡 = 12 (ℎ).

D. 𝑡 = 6 (ℎ).

A. \[\alpha \left( x \right),\beta \left( x \right),\delta \left( x \right)\]

B. \[\beta \left( x \right),\delta \left( x \right),\alpha \left( x \right)\]

C. \[\beta \left( x \right),\alpha \left( x \right),\delta \left( x \right)\]

D. \[\alpha \left( x \right),\delta \left( x \right),\beta \left( x \right)\]

A. \[\left( {{f^{ - 1}}} \right)\left( x \right) = \sin \,\ln {x^3}\]

B. \[\left( {{f^{ - 1}}} \right)\left( x \right) = \sqrt[3]{{\sin {e^x}}}\]

C. \[\left( {{f^{ - 1}}} \right)\left( x \right) = {e^{\sin \sqrt[3]{x}}}\]

D. Các câu khác sai.

C.\[f\left( x \right) = {e^{ - 2}}\left( {1 + {{\left( {1 + x} \right)}^2} + \frac{1}{2}{{\left( {1 + x} \right)}^4} + o{{\left( {1 + x} \right)}^4}} \right)\]

D. Các câu khác sai

A. \[\left( {1; + \infty } \right)\]

B. \[\left( { - 1;1} \right)\]

C. \[\left[ { - 1;1} \right]\]

D. \[\left( { - \infty ; - 1} \right)\]

A. \[\alpha \left( x \right),\beta \left( x \right),\chi \left( x \right)\]

B. \[\beta \left( x \right),\alpha \left( x \right),\chi \left( x \right)\]

C. \[\chi \left( x \right),\beta \left( x \right),\alpha \left( x \right)\]

D. \[\chi \left( x \right),\alpha \left( x \right),\beta \left( x \right)\]