List questions from uniform-convergence

Published on 12 Oct 2016 - 17:40

363

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Uniform convergence on subintervals

Published on 14 Oct 2016 - 4:29

45

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Verification of proof for uniform convergence

Published on 14 Oct 2016 - 6:19

722

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Show that the series $\sum_{n=1}^{\infty} (-1)^{n}u_{n}(x)$ converges uniformly on $[0,1]$, but the series $\sum_{n=1}^{\infty} u_{n}(x)$ does not.

Published on 16 Oct 2016 - 7:32

92

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Convergence of $\sum_{j=1}^{\infty} \frac{1}{j^3+x^2}$

Published on 17 Oct 2016 - 16:53

63

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Why Weierstrass M-test doesn't apply on $f_k(x)=x^2 e^{-kx^2}$?

Published on 18 Oct 2016 - 12:50

78

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Uniform convergence of $\sqrt{x^2+n^2}^{-1}-n^{-1}$

Published on 19 Oct 2016 - 17:57

195

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Prove or disprove: if $f_n$ converges uniformly on $A$, then $f_n$ converges uniformly on $\overline{A}$.

Published on 21 Oct 2016 - 1:43

411

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The sequence of functions $\{x,x/2,x/3,...\}$ is not uniformly convergent

Published on 21 Oct 2016 - 19:22

43

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Help with counter-example on uniformly convergence.

Published on 23 Oct 2016 - 14:59

70

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Uniform convergence of $f_n(x)=\frac{x}{n}$ on $0\le x\le 1$. Proof verification

Published on 24 Oct 2016 - 10:23

212

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Conditions for uniform convergence in probability under reciprocal map.

Published on 30 Mar 2026 - 4:00

46

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How do you prove the uniform convergence of the following series?

Published on 25 Oct 2016 - 9:54

377

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Pointwise and uniform convergence of series $\sum_{n=1}^{\infty} \frac{\sin nx}{n^2}$ and $\sum_{n=1}^{\infty} \frac{(-1)^n}{x^2+n}$

Published on 30 Mar 2026 - 4:00

66

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Uniform convergence of a series of a cyclic integral

Published on 27 Oct 2016 - 16:59

List Question

Uniform Convergence of a sequence on [0,1]

Uniform convergence on subintervals

Verification of proof for uniform convergence

Show that the series $\sum_{n=1}^{\infty} (-1)^{n}u_{n}(x)$ converges uniformly on $[0,1]$, but the series $\sum_{n=1}^{\infty} u_{n}(x)$ does not.

Convergence of $\sum_{j=1}^{\infty} \frac{1}{j^3+x^2}$

Why Weierstrass M-test doesn't apply on $f_k(x)=x^2 e^{-kx^2}$?

Uniform convergence of $\sqrt{x^2+n^2}^{-1}-n^{-1}$

Prove or disprove: if $f_n$ converges uniformly on $A$, then $f_n$ converges uniformly on $\overline{A}$.

The sequence of functions $\{x,x/2,x/3,...\}$ is not uniformly convergent

Help with counter-example on uniformly convergence.

Uniform convergence of $f_n(x)=\frac{x}{n}$ on $0\le x\le 1$. Proof verification

Conditions for uniform convergence in probability under reciprocal map.

How do you prove the uniform convergence of the following series?

Pointwise and uniform convergence of series $\sum_{n=1}^{\infty} \frac{\sin nx}{n^2}$ and $\sum_{n=1}^{\infty} \frac{(-1)^n}{x^2+n}$

Uniform convergence of a series of a cyclic integral

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