  In this paper we calculate genaral n-canonical divisors on smoothable
semi-log-terminal singularities in dimension 2, in other words, the full
sheaves associated to the double dual of the nth tensor power of the dualizing
sheaves of these singularities. And as its application we give the inequality
which bound the Gorenstein index by the local self intersection number of the
n-canonical divisor of these singularities.
