  In this article we consider the elliptic Selberg integral, which is a BC_n
symmetric multivariate extension of the elliptic beta integral. We categorize
the limits that are obtained as p->0, for given behavior of the parameters as
p->0. This article is therefore the multivariate version of our earlier paper
"Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric
Functions". The integrand of the elliptic Selberg integral is the measure for
the BC_n symmetric biorthogonal functions introduced by the second author, so
we also consider the limits of the associated bilinear form. We also provide
the limits for the discrete version of this bilinear form, which is related to
a multivariate extension of the Frenkel-Turaev summation.
