  We investigate $(n+1)$--dimensional cosmology with varying speed of light.
After solving corresponding Wheeler-DeWitt equation, we obtain exact solutions
in both classical and quantum levels for ($c $--$\Lambda$)--dominated Universe.
We then construct the ``canonical'' wave packets which exhibit a good classical
and quantum correspondence. We show that arbitrary but appropriate initial
conditions lead to the same classical description. We also study the situation
from de-Broglie Bohm interpretation of quantum mechanics and show that the
corresponding Bohmian trajectories are in good agreement with the classical
counterparts.
