tiny q: superroots of real numbers x>e

[bo198214]

To be clear: I think its sure that

\( \lim_{k\to\infty}\text{srt}(x,k) = \sqrt[x]{x} \) for \( 1\le x\le e \)

and for \( x>e \) I would guess:

\( \lim_{k\to\infty}\text{srt}(x,k) = e^{1/e} \)

this also corresponds to your pictures.