Question

Sequences convergence uniform convergence and impact of boundedness of the differentrial

score 24 · Answer 1 · 2026-02-23 20:23:04

24

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Sequences convergence uniform convergence and impact of boundedness of the differentrial

Published on 23 Feb 2026 - 20:23

score 22 · Answer 2 · 2026-03-31 14:15:09

22

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A general question about a model's behaviour by uniformly selecting a finite number of inputs from an infinite input space.

Published on 31 Mar 2026 - 14:15

score 95 · Answer 3 · 2023-08-04 06:24:25

95

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How does $f$ being uniformly continuous imply $f_\epsilon \rightarrow f$ uniformly?

Published on 04 Aug 2023 - 6:24

score 56 · Answer 4 · 2023-08-04 20:17:15

56

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Does $\sum^\infty_{k=0}\frac{x^k}{1+x^k}$ converge uniformly on $[-1/2,1/2]$?

Published on 04 Aug 2023 - 20:17

score 52 · Answer 5 · 2026-02-24 17:16:26

52

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How to show that $f(x)=x^n$ converges pointwise in domain $D=[0,1)$.

Published on 24 Feb 2026 - 17:16

score 59 · Answer 6 · 2026-02-24 17:18:00

59

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How to show that $f(x)=x^n$ does not converge uniformly in domain $D=[0,1)$.

Published on 24 Feb 2026 - 17:18

score 76 · Answer 7 · 2026-04-01 17:47:32

76

Views

Uniformly convergence of a functions sequence and Riemann sum

Published on 01 Apr 2026 - 17:47

score 43 · Answer 8 · 2023-08-13 08:45:29

43

Views

Big Rudin exercise 1.10: Convergence of bounded function sequence

Published on 13 Aug 2023 - 8:45

score 28 · Answer 9 · 2023-08-15 14:47:55

28

Views

Proof check - small lemma related to Weierstrass Approximation Theorem

Published on 15 Aug 2023 - 14:47

score 65 · Answer 10 · 2026-02-24 17:18:01

65

Views

$f_n=\frac{1}{x^{\frac{1}{n}}}$ uniformly converges to 1

Published on 24 Feb 2026 - 17:18

score 55 · Answer 11 · 2023-08-20 01:48:30

55

Views

Uniform convergence for a quotient of two uniformly convergent sequences

Published on 20 Aug 2023 - 1:48

score 145 · Answer 12 · 2026-04-08 17:23:59

145

Views

(Path) connected components of zero-sets of limiting functions.

Published on 08 Apr 2026 - 17:23

score 96 · Answer 13 · 2026-02-24 17:15:02

96

Views

Do subdifferentials of a uniformly converging sequence of convex functions converge pointwise?

Published on 24 Feb 2026 - 17:15

score 65 · Answer 14 · 2026-03-25 12:53:18

65

Views

Counterexample to Egorov for functions valued in non-separable metric space

Published on 25 Mar 2026 - 12:53

score 16 · Answer 15 · 2023-08-25 14:46:04

16

Views

Uniform convergence of specific sequence on a compact subset of the complex plane.

Published on 25 Aug 2023 - 14:46

List Question

Sequences convergence uniform convergence and impact of boundedness of the differentrial

A general question about a model's behaviour by uniformly selecting a finite number of inputs from an infinite input space.

How does $f$ being uniformly continuous imply $f_\epsilon \rightarrow f$ uniformly?

Does $\sum^\infty_{k=0}\frac{x^k}{1+x^k}$ converge uniformly on $[-1/2,1/2]$?

How to show that $f(x)=x^n$ converges pointwise in domain $D=[0,1)$.

How to show that $f(x)=x^n$ does not converge uniformly in domain $D=[0,1)$.

Uniformly convergence of a functions sequence and Riemann sum

Big Rudin exercise 1.10: Convergence of bounded function sequence

Proof check - small lemma related to Weierstrass Approximation Theorem

$f_n=\frac{1}{x^{\frac{1}{n}}}$ uniformly converges to 1

Uniform convergence for a quotient of two uniformly convergent sequences

(Path) connected components of zero-sets of limiting functions.

Do subdifferentials of a uniformly converging sequence of convex functions converge pointwise?

Counterexample to Egorov for functions valued in non-separable metric space

Uniform convergence of specific sequence on a compact subset of the complex plane.

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