### Values for which tetration to infinite heights (i.e., $x^{x^{x^{x^{.^{.^{.}}}}}}$) converges [duplicate]
I was reading Evaluating tetration to infinite heights (e.g., $2^{2^{2^{2^{.^{.^.}}}}}$). For what values of $x$ does tetration to infinite heights (i.e., $x^{x^{x^{x^{.^{.^{.}}}}}}$) converge?