Question

Using uniform convergence to show the joint limit of a double-indexed sum

score 24 · Answer 1 · 2026-05-13 19:43:23

24

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Using uniform convergence to show the joint limit of a double-indexed sum

Published on 13 May 2026 - 19:43

score 78 · Answer 2 · 2026-04-16 06:52:25

78

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0 as point of non-uniform convergence for $f_n(x)=nxe^{-nx^2}$

Published on 16 Apr 2026 - 6:52

score 46 · Answer 3 · 2026-04-10 05:05:41

46

Views

Exchanging Limit and Integral - Derivation

Published on 10 Apr 2026 - 5:05

score 465 · Answer 4 · 2026-04-16 08:09:48

465

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Show that $S_n(x)=nx(1-x)^n$ is not uniformly convergent on [0,1]

Published on 16 Apr 2026 - 8:09

score 61 · Answer 5 · 2026-04-17 04:54:12

61

Views

Uniform convergence of $\int_{x=0}^{1}\frac{x^{-t}-1}{t}\mathrm{d}x$

Published on 17 Apr 2026 - 4:54

score 83 · Answer 6 · 2026-04-16 02:46:50

83

Views

Uniform Convergence of $\sum_{n=2}^\infty z^n/(n\ln(n))$ over $\overline{B(0,1)}\backslash B(1,\varepsilon)$

Published on 16 Apr 2026 - 2:46

score 24 · Answer 7 · 2026-04-22 11:38:11

24

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Continuity of the limit of a uniform convergent sequences of functions

Published on 22 Apr 2026 - 11:38

score 23 · Answer 8 · 2026-04-18 10:00:26

23

Views

Uniformly approximing powers of decreasing exponentials by $e^{-t}P(t)$ with $P$ polynom

Published on 18 Apr 2026 - 10:00

score 25 · Answer 9 · 2026-04-14 06:16:59

25

Views

Does the sequence of iterated derivatives of $2^x$ converge uniformly to the zero function on any interval that is bounded above?

Published on 14 Apr 2026 - 6:16

score 89 · Answer 10 · 2026-04-13 18:43:21

89

Views

Show that sum of integral of $f_n$ converges

Published on 13 Apr 2026 - 18:43

score 84 · Answer 11 · 2026-04-15 10:45:43

84

Views

A sequence converging uniformly to 0 so that Fatou's Lemma is a strict inequality

Published on 15 Apr 2026 - 10:45

score 45 · Answer 12 · 2026-04-15 05:56:00

45

Views

How to show that the series of functions $\sum \frac{x^{2n}}{(n+x)^2}$ converges uniformly on $[0,1]$

Published on 15 Apr 2026 - 5:56

score 53 · Answer 13 · 2026-04-16 13:13:39

53

Views

Prove that, for $a <b$, $\sup_{x \in [a,b]}|F_n(x) - F(x)| \to 0, \quad n\to \infty $

Published on 16 Apr 2026 - 13:13

score 36 · Answer 14 · 2026-04-16 05:57:11

36

Views

Region of uniform convergence is within or is equal to the region of convergence.

Published on 16 Apr 2026 - 5:57

score 121 · Answer 15 · 2026-04-16 07:39:08

121

Views

Uniform convergence of the series $\sum_{n=1}^{\infty} \frac{1}{n^3}$

Published on 16 Apr 2026 - 7:39

List Question

Using uniform convergence to show the joint limit of a double-indexed sum

0 as point of non-uniform convergence for $f_n(x)=nxe^{-nx^2}$

Exchanging Limit and Integral - Derivation

Show that $S_n(x)=nx(1-x)^n$ is not uniformly convergent on [0,1]

Uniform convergence of $\int_{x=0}^{1}\frac{x^{-t}-1}{t}\mathrm{d}x$

Uniform Convergence of $\sum_{n=2}^\infty z^n/(n\ln(n))$ over $\overline{B(0,1)}\backslash B(1,\varepsilon)$

Continuity of the limit of a uniform convergent sequences of functions

Uniformly approximing powers of decreasing exponentials by $e^{-t}P(t)$ with $P$ polynom

Does the sequence of iterated derivatives of $2^x$ converge uniformly to the zero function on any interval that is bounded above?

Show that sum of integral of $f_n$ converges

A sequence converging uniformly to 0 so that Fatou's Lemma is a strict inequality

How to show that the series of functions $\sum \frac{x^{2n}}{(n+x)^2}$ converges uniformly on $[0,1]$

Prove that, for $a <b$, $\sup_{x \in [a,b]}|F_n(x) - F(x)| \to 0, \quad n\to \infty $

Region of uniform convergence is within or is equal to the region of convergence.

Uniform convergence of the series $\sum_{n=1}^{\infty} \frac{1}{n^3}$

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