  Referring to Ramanujan's original definition of a mock theta function,
Rhoades asked for explicit formulas for radial limits of the universal mock
theta functions $g_2$ and $g_3$. Recently, Bringmann and Rolen found such
formulas for specializations of $g_2$. Here we treat the case of $g_3$,
generalizing radial limit results for the rank generating function of Folsom,
Ono, and Rhoades. Furthermore, we find expressions for radial limits of fifth
order mock theta functions different from those of Bajpai, Kimport, Liang, Ma,
and Ricci.
