We investigate the leptonic decay amplitude of heavy pseudo-scalar mesons a
s well as the B to D transition amplitude in the heavy quark limit, using t
he covariant formulation of light-front dynamics. The explicit rotational i
nvariance of this formalism enables us to recover the analytic results obta
ined for these processes using the Bakamjian-Thomas construction in equal t
ime dynamics, in the limit of an infinitely heavy mass. The covariant formu
lation provides a very convenient and coherent framework for calculating th
e 1/m corrections.