  We prove that the free energy of directed polymer in Bernoulli environment
converges to the growth rate for the number of open paths in super-critical
oriented percolation as the temperature tends to zero. Our proof is based on
rate of convergence results which hold uniformly in the temperature. We also
prove that the convergence rate is locally uniform in the percolation parameter
inside the super-critical phase, which implies that the growth rate depends
continuously on the percolation parameter.
