  We revisit the strong coupling limit of the cusp anomalous dimension in
planar N=4 super Yang-Mills theory. It is known that the strong coupling
expansion is asymptotic and non-Borel summable. As a consequence, the cusp
anomalous dimension receives non-perturbative corrections, and the complete
strong coupling expansion should be a resurgent transseries. We reveal that the
perturbative and non-perturbative parts in the transseries are closely
interrelated. Solving the Beisert-Eden-Staudacher equation systematically, we
analyze in detail the large order behavior in the strong coupling perturbative
expansion and show that the non-perturbative information is indeed encoded
there. An ambiguity of (lateral) Borel resummations of the perturbative
expansion is precisely canceled by the contributions from the non-perturbative
sectors,
