This does not work because it does not converge for the number 4. The equation x^x^x^x^...=y is only valid for y in the range e^-1 < y < e, although proving thi

This does not work because it does not converge for the number 4. The equation x^x^x^x^...=y is only valid for y in the range e^-1 < y < e, although proving this is a bit complicated. More info on hyperpowers can be found here: (http://www.faculty.fairfield.edu/jmac/ther/tower.htm http://www.faculty.fairfield.edu/jmac/ther/tower.htm). The proof can be found here: (http://www.maa.org/sites/default/files/pdf/upload_library/22/Chauvenet/Knoebelchv.pdf http://www.maa.org/sites/default/files/pdf/upload_library/22...)