Appropriate style for two limits with two brackets

I wanted to know which of the two styles is more elegant when I have this form

\documentclass{article}\usepackage{amsmath,amssymb}\begin{document}\begin{align}\lim_{n \to \infty} \bigl( \lim_{x \to 0^{+}} f_{n}(x) \bigr) &= 1, \\\lim_{x \to 0^{+}} \left( \lim_{n \to \infty} f_{n}(x) \right) &= 0.\end{align}\end{document}

Is it preferible to use for \lim operator, \left( ....\right) or \bigl( \bigr)? Other suggestion are welcome.