  General asymptotic formulas are given for the coefficient $C_\ell$ of the
term of multipole number $\ell$ in the temperature correlation function of the
cosmic microwave background, in terms of scalar and dipole form factors
introduced in a companion paper. The formulas apply in two overlapping limits:
for $\ell\gg 1$ and for $\ell d/d_A\ll 1$ (where $d_A$ is the angular diameter
distance of the surface of last scattering, and $d$ is a length, of the order
of the acoustic horizon at the time of last scattering, that characterizes
acoustic oscillations before this time.) The frequently used approximation that
$C_\ell$ receives its main contribution from wave numbers of order $\ell/d_A$
is found to be less accurate for the contribution of the Doppler effect than
for the Sachs--Wolfe effect and intrinsic temperature fluctuations. For $\ell
d/d_A\ll 1$ and $\ell\geq 2$, the growth of $C_\ell$ with $\ell$ is shown to be
affected by acoustic oscillation wave numbers of all scales. The asymptotic
formulas are applied to a model of acoustic oscillations before the time of
last scattering, with results in reasonable agreement with more elaborate
computer calculations.
