  We find a limit formula for a generalization of MacDonald's inner product in
finitely many variables, using equivariant localization on the Grassmannian
variety, and the main lemma from \cite{Car}, which bounds the torus characters
of the higher \c{C}ech cohomology groups. We show that the MacDonald inner
product conjecture of type $A$ follows from a special case, and the Pieri rules
section of MacDonald's book \cite{Mac}, making this limit suitable replacement
for the norm squared of one, the usual normalizing constant.
