  This is the second paper in a series of papers analyzing angled crested type
water waves with surface tension. We consider the 2D capillary gravity water
wave equation and assume that the fluid is inviscid, incompressible,
irrotational and the air density is zero. In the first paper \cite{Ag19} we
constructed a weighted energy which generalizes the energy of Kinsey and Wu
\cite{KiWu18} to the case of non-zero surface tension, and proved a local
wellposedness result. In this paper we prove that under a suitable scaling
regime, the zero surface tension limit of these solutions with surface tension
are solutions to the gravity water wave equation which includes waves with
angled crests.
