Wiskunde Multiple Choice Vraag

$\displaystyle\lim_{\underset{>}{x\to 0}}\frac{\log x}{\cot x}=$	A. 1
B. −1
C. 0
D. log e
E.

$\displaystyle\lim_{\underset{>}{x\to 0}}\frac{\log x}{\cot x}\left(=\frac{-\infty}{+\infty}\right)\overset{H}{=}\lim_{\underset{>}{x\to 0}}\frac{\frac1{x.\ln 10}}{-\frac1{\sin^2x}}=-\lim_{\underset{>}{x\to 0}}\left(\sin x\cdot\frac{\sin x}{x}\cdot\ln 10\right)=-0.1.\ln 10=0$