>>11672012I don't understand why the lower bound for infinite tetration should be 1/e^e, my intuition tells me it should be 0. I believe I have found a way to define it for all 0<x<e^(1/e) aswell. If someone could provide a proof, it could help me find a problem with my idea of the operarion.
Anyway back to the problem I found that the integral is not expressable with elementary functions and as such I don't have exact results but only numerical.
Evaluated from 0 to e^(1/e) I found it to be 1.26518868936 (aprox, last digits could be off).
Evaluated from 1/e^e to e^(1/e) I found it to be 1.2684069424 (aprox again, last digits could be off)
neither look like familiar constants
