  Proving homogenization has been a subtle issue for geometric equations due to
the discontinuity when the gradient vanishes. A sufficient condition for
periodic homogenization using perturbed correctors is suggested in the
literature [3] to overcome this difficulty. However, some noncoercive equations
do not satisfy this condition. In this note, we prove homogenization of
geometric equations without using perturbed correctors, and therefore we
conclude homogenization for the noncoercive equations. Also, we provide a rate
of periodic homogenization of coercive geometric equations by utilizing the
fact that they remain coercive under perturbation. We also present an example
that homogenizes with a rate $\Omega(\varepsilon|\log \varepsilon|)$.
