KingOliver
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 Sep 24 awarded Popular Question Sep 1 awarded Popular Question Jul 29 comment Flipping heads 10 times in a row Alex, could you provide your closed form solution? I have recently asked this question myself and your question here was most helpful. Jul 8 awarded Popular Question Jul 2 awarded Curious Jul 2 awarded Inquisitive Jun 29 awarded Yearling May 4 awarded Popular Question Apr 13 awarded Popular Question Feb 16 awarded Popular Question Feb 4 awarded Popular Question Jan 22 awarded Popular Question Dec 16 awarded Popular Question Dec 9 comment Proving that $\sum_j x^j$ is differentiable $(-1,1)$ Ah, so it converges on every interval $[-\beta, \beta]$ for $|\beta| < 1$? Many thanks for your help @EricAuld Dec 8 revised Proving that $\sum_j x^j$ is differentiable $(-1,1)$ added 436 characters in body Dec 8 comment Proving that $\sum_j x^j$ is differentiable $(-1,1)$ Yes but I am not sure how to show that $\sum_j (j+1)x^j$ converges to a finite number for $|x| < 1$? Dec 8 revised Showing that $\sum_j e^{-jx}x^j$ converges uniformly added 17 characters in body Dec 8 asked Proving that $\sum_j x^j$ is differentiable $(-1,1)$ Dec 8 accepted Showing that $\sum_j e^{-jx}x^j$ converges uniformly Dec 8 comment Showing that $\sum_j e^{-jx}x^j$ converges uniformly Hmm, thanks Mhenni! Any idea as to how I would actually compute the sum?