Question

Valid reason the sequence of functions does not converge uniformly

score 68 · Answer 1 · 2026-04-12 17:48:57

68

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Valid reason the sequence of functions does not converge uniformly

Published on 12 Apr 2026 - 17:48

score 295 · Answer 2 · 2026-04-24 20:54:03

295

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Getting uniform convergence via a dominated convergence argument

Published on 24 Apr 2026 - 20:54

score 109 · Answer 3 · 2026-04-15 20:53:52

109

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Does $x^{x} = \sum\limits_{n=0}^{\infty}\frac{x^n \ln(x)^n}{n!}$ converges uniformly for $x = 0$?

Published on 15 Apr 2026 - 20:53

score 54 · Answer 4 · 2026-04-10 07:56:19

54

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Is a closed ball in dual space $E'$ of a normed space $E$ compact with respect to the topology of compact convergence on $E'$?

Published on 10 Apr 2026 - 7:56

score 134 · Answer 5 · 2026-04-14 09:53:26

134

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How can we prove that $\lim_{x\to0^+} \sum_{n=1}^\infty e^{-n^2x}=\infty$?

Published on 14 Apr 2026 - 9:53

score 105 · Answer 6 · 2026-04-17 23:05:44

105

Views

Uniform convergence of piecewise defined function

Published on 17 Apr 2026 - 23:05

score 86 · Answer 7 · 2026-04-13 12:48:10

86

Views

How to prove that this series of functions is uniformly convergent?

Published on 13 Apr 2026 - 12:48

score 161 · Answer 8 · 2026-04-10 20:07:59

161

Views

Do the topologies of pointwise and compact convergence coincide on equicontinuous subsets?

Published on 10 Apr 2026 - 20:07

score 192 · Answer 9 · 2026-04-13 21:07:40

192

Views

How to prove a series is not uniform convergent ? $\sum_{n=1}^\infty n^2xe^{-n^2x}$

Published on 13 Apr 2026 - 21:07

score 172 · Answer 10 · 2026-04-16 02:40:57

172

Views

The uniform convergence of $\int_0^\infty \mathrm{e}^{-ax^2}x^{2n}\mathrm{d}x \quad w.r.t \ a$

Published on 16 Apr 2026 - 2:40

score 7.4k · Answer 11 · 2026-04-16 11:06:54

7.4k

Views

Cauchy Criterion for Uniform Convergence of Functions

Published on 16 Apr 2026 - 11:06

score 39 · Answer 12 · 2026-04-10 09:29:09

39

Views

A proof of uniformly convergence

Published on 10 Apr 2026 - 9:29

score 635 · Answer 13 · 2026-04-13 16:51:15

635

Views

The solution of the heat equation $u_t=\alpha u_{xx}$ is continuous on time $[0,\infty)$

Published on 13 Apr 2026 - 16:51

score 689 · Answer 14 · 2026-04-15 10:09:06

689

Views

Checking exercise on uniform convergence and differentiation

Published on 15 Apr 2026 - 10:09

score 77 · Answer 15 · 2026-04-13 21:24:31

77

Views

Inequality and sequence of functions

Published on 13 Apr 2026 - 21:24

List Question

Valid reason the sequence of functions does not converge uniformly

Getting uniform convergence via a dominated convergence argument

Does $x^{x} = \sum\limits_{n=0}^{\infty}\frac{x^n \ln(x)^n}{n!}$ converges uniformly for $x = 0$?

Is a closed ball in dual space $E'$ of a normed space $E$ compact with respect to the topology of compact convergence on $E'$?

How can we prove that $\lim_{x\to0^+} \sum_{n=1}^\infty e^{-n^2x}=\infty$?

Uniform convergence of piecewise defined function

How to prove that this series of functions is uniformly convergent?

Do the topologies of pointwise and compact convergence coincide on equicontinuous subsets?

How to prove a series is not uniform convergent ? $\sum_{n=1}^\infty n^2xe^{-n^2x}$

The uniform convergence of $\int_0^\infty \mathrm{e}^{-ax^2}x^{2n}\mathrm{d}x \quad w.r.t \ a$

Cauchy Criterion for Uniform Convergence of Functions

A proof of uniformly convergence

The solution of the heat equation $u_t=\alpha u_{xx}$ is continuous on time $[0,\infty)$

Checking exercise on uniform convergence and differentiation

Inequality and sequence of functions

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