limit of series



...

"By the way, such tricks are often used in mathematics, too (applied 
mathematics, not pure). For example, methods of acceleration of 
convergence. "

Similar problem was analyzed by Mark Braverman ( he accelerated 
divergence =Giant steps).

http://wwwmayr.informatik.tu-muenchen.de/konferenzen/ACA2007/braverman.pdf
in case of parabolic Julia sets
http://en.wikibooks.org/wiki/Fractals/Iterations_in_the_complex_plane/parabolic


Here is my naive page about slow attractors :
http://fraktal.republika.pl/period.html

Adam