I need to calculate [itex]\sum_{n=0}^{∞}x^{(2^n)}[/itex] for [itex]0≤x<1[/itex]. It doesn't resemble any basic taylor series, so I have no idea how to sum it up. Any hint, or the resulting formula?(adsbygoogle = window.adsbygoogle || []).push({});

This series comes from a physical problem, so I suppose (if I didn't make a mistake) that the series is sumable, and diverges for x=1.

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# Sum up a taylor series

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