  Let $X$ be a WCG Banach space admitting a $C^k$-Fr\' echet smooth norm. Then
$X$ admits an equivalent norm which is simultaneously $C^1$-Fr\' echet smooth,
LUR, and a uniform limit of $C^k$-Fr\' echet smooth norms. If
$X=C([0,\alpha])$, where $\alpha$ is an ordinal, then the same conclusion holds
true with $k=\infty$.
