# Zvpunry

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 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 Nov18 accepted How to show that $\sum {2^j + j \over 3^j - j}$ converges Nov16 asked How to show that $\sum {2^j + j \over 3^j - j}$ converges Nov8 comment How to prove Riemann integrable with partitions I understand, however, I am trying to prove this Riemann integrability from first principles, and so would like to find a way that involves a choice of partition rather than appeal to another theorem Nov7 asked How to prove Riemann integrable with partitions Nov7 comment Squares of differentiable functions Sorry @dfeuer I meant $(f(x))^2$. Thanks Daniel Fischer! Nov7 asked Squares of differentiable functions