  In this paper we analyze the phase transition phenomena in Born-Infeld AdS
black holes using Ehrenfest's scheme of standard thermodynamics. The critical
points are marked by the divergences in the heat capacity. In order to
investigate the nature of the phase transition, we analytically check both the
Ehrenfest's equations near the critical points. Our analysis reveals that this
is indeed a second order phase transition. Finally, we analyze the nature of
the phase transition using state space geometry approach. This is found to be
compatible with the Ehrenfest's scheme.
