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Sep 3, 2018 at 3:08 vote accept T. Amdeberhan
Sep 2, 2018 at 7:21 comment added Pietro Majer So the condition may be restated as $\sum_{k=1}^{+\infty} a_k R^k>1$ (which is automatically true if $R=+\infty$)
Sep 2, 2018 at 4:44 history answered Robert Israel CC BY-SA 4.0