Question

Pointwise and uniform convergence of $f_n(x)=\sqrt[n]{nx^2+1}$

score 119 · Answer 1 · 2026-04-17 11:50:06

119

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Pointwise and uniform convergence of $f_n(x)=\sqrt[n]{nx^2+1}$

Published on 17 Apr 2026 - 11:50

score 27 · Answer 2 · 2026-04-13 14:07:48

27

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Convergence of the maximal root of a family of quadratic polynomials as a parameter goes to 0

Published on 13 Apr 2026 - 14:07

score 51 · Answer 3 · 2026-04-10 06:51:03

51

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Evaluating certain limits of integrals

Published on 10 Apr 2026 - 6:51

score 91 · Answer 4 · 2026-04-10 16:11:32

91

Views

Question about limit of integrals

Published on 10 Apr 2026 - 16:11

score 383 · Answer 5 · 2026-04-13 15:44:35

383

Views

Absolutely Convergent Complex Power Series Implies Uniform Convergence, How about Not Absolute?

Published on 13 Apr 2026 - 15:44

score 53 · Answer 6 · 2026-04-16 20:44:15

53

Views

Uniform boundness question

Published on 16 Apr 2026 - 20:44

score 414 · Answer 7 · 2026-04-15 19:45:34

414

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If $f_n\to f$ uniformly and $f$ bounded, then $f_n$ is uniformly bounded proof method question

Published on 15 Apr 2026 - 19:45

score 1.7k · Answer 8 · 2026-04-16 21:03:27

1.7k

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If $f_n\to f$ pointwise on $\mathbb{R}$ and each $f_n$ is bounded, then $f$ is bounded (counter-example) + question on uniform convergence proof

Published on 16 Apr 2026 - 21:03

score 80 · Answer 9 · 2026-04-16 01:59:45

80

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On proving $\partial_\theta^n\int_0^1t^{\theta-1}\,\mathrm dt=\int_0^1\partial_\theta^nt^{\theta-1}\,\mathrm dt$

Published on 16 Apr 2026 - 1:59

score 172 · Answer 10 · 2026-04-16 10:36:28

172

Views

$\{f_n\}$ integrable functions and $\{g_n\}$ uniformly bounded sequence of continuous functions, then is the following statement true?

Published on 16 Apr 2026 - 10:36

score 204 · Answer 11 · 2026-04-16 20:44:15

204

Views

Counter examples on uniform convergence

Published on 16 Apr 2026 - 20:44

score 67 · Answer 12 · 2026-04-16 21:03:27

67

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Let $f_n\to f$ pointwise on a set $E$. If $|f_n(x)-f(x)|\le a_n \ \forall x\in E$ with $a_n\to 0$, then the convergence is uniform

Published on 16 Apr 2026 - 21:03

score 30 · Answer 13 · 2026-04-16 18:52:55

30

Views

Equivalency in Uniform and Pointwise Convergence

Published on 16 Apr 2026 - 18:52

score 59 · Answer 14 · 2026-04-16 20:58:04

59

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Uniform convergence of $(f_n)_{n \in \Bbb{N}}$ on $D_1 \cup D_2$

Published on 16 Apr 2026 - 20:58

score 83 · Answer 15 · 2026-04-14 07:58:13

83

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Vector function going to zero faster than the norm of its variable uniformly in time

Published on 14 Apr 2026 - 7:58

List Question

Pointwise and uniform convergence of $f_n(x)=\sqrt[n]{nx^2+1}$

Convergence of the maximal root of a family of quadratic polynomials as a parameter goes to 0

Evaluating certain limits of integrals

Question about limit of integrals

Absolutely Convergent Complex Power Series Implies Uniform Convergence, How about Not Absolute?

Uniform boundness question

If $f_n\to f$ uniformly and $f$ bounded, then $f_n$ is uniformly bounded proof method question

If $f_n\to f$ pointwise on $\mathbb{R}$ and each $f_n$ is bounded, then $f$ is bounded (counter-example) + question on uniform convergence proof

On proving $\partial_\theta^n\int_0^1t^{\theta-1}\,\mathrm dt=\int_0^1\partial_\theta^nt^{\theta-1}\,\mathrm dt$

$\{f_n\}$ integrable functions and $\{g_n\}$ uniformly bounded sequence of continuous functions, then is the following statement true?

Counter examples on uniform convergence

Let $f_n\to f$ pointwise on a set $E$. If $|f_n(x)-f(x)|\le a_n \ \forall x\in E$ with $a_n\to 0$, then the convergence is uniform

Equivalency in Uniform and Pointwise Convergence

Uniform convergence of $(f_n)_{n \in \Bbb{N}}$ on $D_1 \cup D_2$

Vector function going to zero faster than the norm of its variable uniformly in time

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