  We prove nontangential asymptotic limits of the Bergman kernel on the
diagonal, and the Bergman metric and its holomorphic sectional curvature at
exponentially flat infinite type boundary points of smooth bounded pseudoconvex
domains in $\mathbb{C}^{n+1}$, $n\in\mathbb{N}$. We first show that these
objects satisfy appropriate localizations and then use the method of scaling to
complete the proof.
