I had being looking what had being done with bases lower than 1, and found nothing.
I didn't expected to get oscillating/damped periodic functions. They also seem to converge to \( \\[25pt]
{\lim_{x\to \infty}{^xa=c} \Leftrightarrow {c}^{\frac{1}{c}}=a} \)
¿Does this hints that \( \\[20pt]
{^{i.x}a\,=\,^x{(\frac{1}{a})} \) ??
![[Image: EwckPAD.png?1]](http://i.imgur.com/EwckPAD.png?1)
I didn't expected to get oscillating/damped periodic functions. They also seem to converge to \( \\[25pt]
{\lim_{x\to \infty}{^xa=c} \Leftrightarrow {c}^{\frac{1}{c}}=a} \)
¿Does this hints that \( \\[20pt]
{^{i.x}a\,=\,^x{(\frac{1}{a})} \) ??
