# Mike

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 Dec16 awarded Caucus Nov16 awarded Popular Question Oct9 awarded Necromancer Oct2 awarded Popular Question Sep24 awarded Popular Question Sep1 awarded Popular Question 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 $|x| < 1$?