  We present the analysis for an $hp$ weak Galerkin-FEM for singularly
perturbed reaction-convection-diffusion problems in one-dimension. Under the
analyticity of the data assumption, we establish robust exponential
convergence, when the error is measured in the energy norm, as the degree $p$
of the approximating polynomials is increased. The Spectral Boundary Layer mesh
is used, which is the minimal (layer adapted) mesh for such problems. Numerical
examples illustrating the theory are also presented.
