  In this paper, we consider the linearized compressible Navier-Stokes
equations in the whole space $\mathbb{R}^n$. Concerning initial datum with
suitable regularities, we introduce a new threshold $|\mathbb{B}_0|=0$ to
distinguish different large-time behaviors. Particularly in the
lower-dimensions, optimal growth estimates ($n=1$ polynomial growth, $n=2$
logarithmic growth) hold when $|\mathbb{B}_0|>0$, whereas optimal decay
estimates hold when $|\mathbb{B}_0|=0$. Furthermore, we derive asymptotic
profiles of solutions with weighted $L^1$ datum as large-time.
