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  • $\begingroup$ N[fabius[Pi], 5] outputs Power::infy: Infinite expression 1/0 encountered. few times and 0.99362. $\endgroup$ Commented Feb 14, 2017 at 6:16
  • $\begingroup$ I updated the answer to extend the function domain to all non-negative reals. $\endgroup$ Commented Feb 16, 2017 at 22:59
  • $\begingroup$ A paper explaining some background for this algorithm: J. Arias de Reyna, Arithmetic of the Fabius Function. $\endgroup$ Commented Jun 13, 2018 at 23:05