Seems to this series converges to 1 for the interval between 0 and 1, and nothing else converges. Is that correct? EDIT: actually I guess it's more complicated

Seems to this series converges to 1 for the interval between 0 and 1, and nothing else converges. Is that correct? EDIT: actually I guess it's more complicated than that. If I'm understanding the order of operations correctly, there's an alternating parity (where n is the number of exponentiations) thing going on with the values between 0 and 1