  The large dimension ($D$) limit of general relativity has been used in
problems involving black holes as an analytical approximation tool. Further it
has been proposed that both linear and nonlinear problems involving black holes
can be systematically studied in a $1/D$ expansion. Certain quasinormal modes
of higher-dimensional Schwarzschild black holes with $\omega \sim
\mathcal{O}(1)$ were studied in the large $D$ limit using a $1/D$ expansion for
the mode function.
  In this paper, we revisit this linear perturbation problem and obtain an
analytical equation for the vector quasinormal modes $\omega \sim
\mathcal{O}(1)$ in the large $D$ limit, without using a $1/D$ expansion for the
mode function. This can be used to compute quasinormal modes to next to leading
order in $1/D$. We also compute vector and scalar quasinormal modes with
$\omega \sim \mathcal{O}(D)$ in the Laplace transform approach in the large $D$
limit. We discuss the useful features of this approach specifically in the
large $D$ limit.
