Find the limit or indicate that it does not exist.
$$ \lim_{t \to \pi} \left[ \left( \sin \frac{t}{4} \right) \mathbf{i} + \left( \cos \frac{7t}{6} \right) \mathbf{j} + \left( \tan \frac{2t}{3} \right) \mathbf{k} \right] $$
Select the correct choice below and, if necessary, fill in the answer boxes in your choice.
A.
$$ \lim_{t \to \pi} \left[ \left( \sin \frac{t}{4} \right) \mathbf{i} + \left( \cos \frac{7t}{6} \right) \mathbf{j} + \left( \tan \frac{2t}{3} \right) \mathbf{k} \right] = (\Box) \mathbf{i} + (\Box) \mathbf{j} + (\Box) \mathbf{k} $$
(Type exact answers.)
B. The limit does not exist.
