Question

Uniform convergence in open disk

score 90 · Answer 1 · 2026-04-14 15:25:37

90

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Uniform convergence in open disk

Published on 14 Apr 2026 - 15:25

score 236 · Answer 2 · 2026-04-16 11:53:03

236

Views

Prove $f_n(x)=\sqrt{x+\frac{1}{n}}-\sqrt{x}$ converges uniformly on $\mathbb{R}$.

Published on 16 Apr 2026 - 11:53

score 174 · Answer 3 · 2026-04-12 04:15:52

174

Views

Supremum of integrable random variables and compact convergence

Published on 12 Apr 2026 - 4:15

score 250 · Answer 4 · 2026-04-13 23:37:28

250

Views

Limit of uniformly convergent sequence of recursive integrals is differentiable?

Published on 13 Apr 2026 - 23:37

score 1.7k · Answer 5 · 2026-04-13 19:20:49

1.7k

Views

Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$

Published on 13 Apr 2026 - 19:20

score 122 · Answer 6 · 2026-04-16 01:05:36

122

Views

Explain $\lim_{N\to \infty}\sup_{x\in\Bbb R} \left|\sum_{ n=N}^{\infty} a_n(x)\right| =0$

Published on 16 Apr 2026 - 1:05

score 632 · Answer 7 · 2026-04-15 07:22:39

632

Views

Which of the following series is uniformly convergent?

Published on 15 Apr 2026 - 7:22

score 61 · Answer 8 · 2026-04-16 08:33:57

61

Views

The sequence {$f_n$} converges uniformly to a function $f$ on $X$. Prove that $f$ is continuous at $x_0$.

Published on 16 Apr 2026 - 8:33

score 77 · Answer 9 · 2026-04-10 23:51:19

77

Views

Problem: Series of function and uniform convergence of them

Published on 10 Apr 2026 - 23:51

score 121 · Answer 10 · 2026-04-15 17:55:52

121

Views

Spivak 24-19 answer

Published on 15 Apr 2026 - 17:55

score 58 · Answer 11 · 2026-04-16 01:35:18

58

Views

Proving that: $u(x,t) = (4 \pi t)^{\frac{-n}{2}} \int_{\mathbb{R}^{n}} e^{\frac{-\|x-y\|^2}{4t}} f(y)dy\to0.$ uniformly

Published on 16 Apr 2026 - 1:35

score 130 · Answer 12 · 2026-04-15 01:29:14

130

Views

Check whether the series is uniformly convergent or not?

Published on 15 Apr 2026 - 1:29

score 295 · Answer 13 · 2026-04-11 14:23:08

295

Views

What is the difference between pointwise and normal convergence?

Published on 11 Apr 2026 - 14:23

score 62 · Answer 14 · 2026-04-17 12:50:40

62

Views

Pointwise and uniform convergence of root

Published on 17 Apr 2026 - 12:50

score 92 · Answer 15 · 2026-04-17 02:49:45

92

Views

Proving uniform convergence of $f_n(x) = \frac{x^n}{1+x+x^n}$ on various intervals

Published on 17 Apr 2026 - 2:49

List Question

Uniform convergence in open disk

Prove $f_n(x)=\sqrt{x+\frac{1}{n}}-\sqrt{x}$ converges uniformly on $\mathbb{R}$.

Supremum of integrable random variables and compact convergence

Limit of uniformly convergent sequence of recursive integrals is differentiable?

Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$

Explain $\lim_{N\to \infty}\sup_{x\in\Bbb R} \left|\sum_{ n=N}^{\infty} a_n(x)\right| =0$

Which of the following series is uniformly convergent?

The sequence {$f_n$} converges uniformly to a function $f$ on $X$. Prove that $f$ is continuous at $x_0$.

Problem: Series of function and uniform convergence of them

Spivak 24-19 answer

Proving that: $u(x,t) = (4 \pi t)^{\frac{-n}{2}} \int_{\mathbb{R}^{n}} e^{\frac{-\|x-y\|^2}{4t}} f(y)dy\to0.$ uniformly

Check whether the series is uniformly convergent or not?

What is the difference between pointwise and normal convergence?

Pointwise and uniform convergence of root

Proving uniform convergence of $f_n(x) = \frac{x^n}{1+x+x^n}$ on various intervals

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