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In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, thecomplete planar perturbative expansion was proposed for the universal functionof the coupling, f(g), appearing in the dimensions of high-spin operators ofthe N=4 SYM theory. We study numerically the integral equation derived inhep-th/0610251, which implements a resummation of the perturbative expansion,and find a smooth function that approaches the asymptotic form predicted bystring theory. In fact, the two leading terms at strong coupling match withhigh accuracy the results obtained for the semiclassical folded string spinningin $AdS_5$. This constitutes a remarkable confirmation of the AdS/CFTcorrespondence for high-spin operators, and equivalently for the cusp anomalyof a Wilson loop. We also make a numerical prediction for the third term in thestrong coupling series.Comment: 11 pages, 1 figure; added references, corrected typo

Test of the Anti–de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators