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I need some support in order to make the graph of $f(x)$ where $f(f(x))=e^x$. I'm also interested in the limits of $f(x)$ at +/-$\infty$. This function has really aroused my curiosity and I'd like to find out more information on it.

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  • $\begingroup$ Are there any conditions on $f$ such as continuity or even differentiability? $\endgroup$ Commented Aug 8, 2012 at 11:19
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    $\begingroup$ See a more general question of this nature here: mathoverflow.net/questions/17614/solving-ffxgx and further links from there. And also here: math.stackexchange.com/questions/3633/… $\endgroup$ Commented Aug 8, 2012 at 11:27
  • $\begingroup$ @ Stefan Geschke: I didn't take into account any specific condition. $\endgroup$ Commented Aug 8, 2012 at 11:34
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    $\begingroup$ exactly yours question mathoverflow.net/questions/12081/… $\endgroup$ Commented Aug 8, 2012 at 11:38
  • $\begingroup$ This is related. $\endgroup$ Commented Aug 8, 2012 at 13:24

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