# Zvpunry

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 Jul29 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. Jul8 awarded Popular Question Jul2 awarded Curious Jul2 awarded Inquisitive Jun29 awarded Yearling May4 awarded Popular Question Apr13 awarded Popular Question Feb16 awarded Popular Question Feb4 awarded Popular Question Jan22 awarded Popular Question Dec16 awarded Popular Question Dec9 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 Dec8 revised Proving that $\sum_j x^j$ is differentiable $(-1,1)$ added 436 characters in body Dec8 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 $|x| < 1$? Dec8 revised Showing that $\sum_j e^{-jx}x^j$ converges uniformly added 17 characters in body Dec8 asked Proving that $\sum_j x^j$ is differentiable $(-1,1)$ Dec8 accepted Showing that $\sum_j e^{-jx}x^j$ converges uniformly Dec8 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? Dec8 asked Showing that $\sum_j e^{-jx}x^j$ converges uniformly Dec3 accepted How to prove Riemann integrable with partitions