  We show that there is a natural universal limit of the topological string
free energies at the large radius point. The new free energies keep a
nonholomorphic dependence on the complex structure moduli space and their
functional form is the same for all Calabi-Yau geometries, compact and
noncompact alike. The asymptotic nature of the free energy expansion changes in
this limit due to a milder factorial growth of its coefficients, and this
implies a transseries extension with instanton effects in $\exp(- 1/g_s^2)$, of
NS-brane type, rather than $\exp(-1/g_s)$, of D-brane type. We show a relation
between the instanton action of NS-brane type and the volume of the Calabi-Yau
manifold which points to a possible interpretation in terms of NS5-branes. A
similar rescaling limit has been considered recently leading to an Airy
equation for the partition function which is here used to explain the resurgent
properties of the rescaled transseries.
