The author generalizes for strictly pseudoconvex domains \(D\subset {\mathbb{C}}^ n\), \textit{W. Seidel}'s [Trans. Am. Math. Soc. 34, 1-21 (1932)] criterium of equality of the limit of two sequences of values \(f(a_ m)\), \(f(b_ m)\) \((m=1,2,...)\) of a bounded holomorphic function f defined on the unit disc \(U\subset {\mathbb{C}}\), when the corresponding two different sequences \(\{a_ m\}\), \(\{b_ m\}\) of points of U converge to the same boundary point \(\xi\in \partial U\). This result allows the author to precise a generalization for \({\mathbb{C}}^ n\) obtained by \textit{E. M. Chirka} [Mat. Sb., Nov. Ser. 92(134), 622-644 (1973; Zbl 0285.32005)] of Lindelöf theorem.