On 23 Nov., 22:19, WM <mueck...@rz.fh-augsburg.de> wrote:
> in any case the limit of my sequence > > > 01. > > > 0.1 > > > 010.1 > > > 01.01 > > > 0101.01 > > > 010.101 > > > 01010.101 > > > 0101.0101 > > > ... > > has infinitely many digits right to the point as well as left to the > point.
This can be proved by attaching pairs 01 of digits always from the left and from the right side in a symmetrical way:
01. 01.01 0101.01 0101.0101 ...
The overall behaviour of the digits (not of the indices) is the same as that of the original sequence.
