Image you had the graph where $x$ is raised to itself an infinite amount of times.
Like this: $$y=x^{x^{x^{x^\cdots}}}$$
What would this graph look like, and/or how is that computed?
Thanks in advance.
Image you had the graph where $x$ is raised to itself an infinite amount of times.
Like this: $$y=x^{x^{x^{x^\cdots}}}$$
What would this graph look like, and/or how is that computed?
Thanks in advance.
The explicit solution of $y=x^y$ is given in terms of Lambert function $$y=-\frac{W(-\log (x))}{\log (x)}$$ and, in the real domain, it is bounded at $x=e^{\frac{1}{e}}$.
Naman Jain's answer gives the plot of it.