Use the relation $\lim_{\theta \to 0} \frac{\sin \theta}{\theta} = 1$ to determine the limit.
$\lim_{x \to 0} \frac{\tan 6x}{\sin 7x}$
Select the correct choice below and, if necessary, fill in the answer box in your choice.
A. $\lim_{x \to 0} \frac{\tan 6x}{\sin 7x} = \square$ (Type an integer or a simplified fraction.)
B. The limit does not exist.