Given a sequence of independent random variates X_1, X_2, ..., if σ_k^2 = var(X_k) and ρ_n^2 congruent max_(k<=n)(σ_k^2/s_n^2), then lim_(n->∞) ρ_n^2 = 0.

Berry-Esséen theorem | central limit theorem | Lindeberg condition