  In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the
complete planar perturbative expansion was proposed for the universal function
of the coupling, f(g), appearing in the dimensions of high-spin operators of
the N=4 SYM theory. We study numerically the integral equation derived in
hep-th/0610251, which implements a resummation of the perturbative expansion,
and find a smooth function that approaches the asymptotic form predicted by
string theory. In fact, the two leading terms at strong coupling match with
high accuracy the results obtained for the semiclassical folded string spinning
in $AdS_5$. This constitutes a remarkable confirmation of the AdS/CFT
correspondence for high-spin operators, and equivalently for the cusp anomaly
of a Wilson loop. We also make a numerical prediction for the third term in the
strong coupling series.
