Infinite tetration and superroot of infinitesimal

[Ivars]

(e) In the first hypothesis (continuous line), the curves of the real values passing through all the odd or the even points defined by y = b # n are just "envelopes" of the actual almost sinusoidal real line oscillating around a mid-value. The upper and lower envelopes may very well be continuous, but the almost periodicity of the "evelopped lines" describing y = b # x will be always 2 (odd/even alternations). No discontinuous jumps between max and min y are detectable. "Tetratio non facit saltus".

(e) In the second hypothesis (dusty distribution), we have not only sudden jumps between any dx variations but also fuzzy point distributions, which would suggest us to give up and do other things.

I am for hypothesis (e).

GFR

Which one (e) ? Or is it undecidable?

Ivars