  How quantum tunneling will behave when the singularity is preserved as much
as possible is the main question of this paper. We get that the Coulomb
sibgularity is reflected as infinitly accelerated oscillations in the
transmission coefficient between zero and one when the incident particles
energy approaches the zero boundary. At relatively high energies, the tunneling
acqures the caracter inherent in regular potentials, and becomes completly
transparent in the asymptote.
