Image:Natural boundary example.gif

(Approximate) plot of the modulus of the function

for $\backslash sum\_\{n=0\}^\{\backslash infty\}z^\{2^n\}$

in the closed unit zero-centred circle. Natural boundary as the unit circumference is shown, together as its convergence rates azimuthally differing according to the powers-of-2's complex exponentials.

{{PD-self|date=April 2010}}

{{Copy to Wikimedia Commons|bot=Fbot|priority=true|date=March 2012}}