Chọn mệnh đề đúng:

A.\[\mathop {\lim }\limits_{x \to 0} \frac{{\ln \left( {1 + x} \right)}}{x} = 1\]

B. \[\mathop {\lim }\limits_{x \to 0} \frac{{\ln \left( {1 - x} \right)}}{x} = 1\]

C. \[\mathop {\lim }\limits_{x \to 0} \frac{{\ln x}}{x} = 1\]

D. \[\mathop {\lim }\limits_{x \to 0} \frac{{\ln \left( {1 + x} \right)}}{{1 + x}} = 1\]