# Mike

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bio website location age 21 member for 2 years, 5 months seen Dec 16 at 19:46 profile views 299

 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 Nov5 accepted Limit of metric of sequences Nov5 comment Limit of metric of sequences Ah! I have seen it: $|\rho(x_n,y_n) - \rho(x,y_n)| \leq |\rho(x_n,x) + \rho(x,y_n) - \rho(x,y_n)|$ Nov5 comment Limit of metric of sequences Hmm, in that case I suppose I'm just not quite sure how to show that something like $|\rho(x_n,y_n) - \rho(x, y_n)|$ can be made small? Nov5 comment Limit of metric of sequences Ah yes I was unsure here whether I could use the absolute value metric $|\cdot|$ to prove convergence or whether I had to use a general $\rho$ to prove convergence. And $\rho$ is indeed a metric on $\mathbb R$ Nov5 asked Limit of metric of sequences Nov4 awarded Notable Question Oct31 asked Finding a nonzero continuous function that satisfies this integral equation, but not unique? Sep14 accepted Showing that $(a_n^2)$ is Cauchy implies that $(a_n)$ is Cauchy