 = 0$  0.  $\lim_{\varepsilon \rightarrow 0} \left[\sup_{u \in B_c} \sum_{L=0}^{[K_\varepsilon]} P_u \left( \left[\bigcup_{0 \leq l < l_\varepsilon} (A^\varepsilon_l)^c \right] \cap \{ l_\varepsilon = L \} \right)