Question

How to show following converges to $1$ uniformly?

score 54 · Answer 1 · 2018-07-11 10:04:45

54

Views

How to show following converges to $1$ uniformly?

Published on 11 Jul 2018 - 10:04

score 90 · Answer 2 · 2018-07-11 21:12:16

90

Views

Prove that $\sum_{k\ge 1}\frac{kg(x^2)}{1+k^3[g(x^2)]^2}$ does not converge uniformly on the real line

Published on 11 Jul 2018 - 21:12

score 92 · Answer 3 · 2018-07-13 03:08:04

92

Views

How to show the sequence of functions $f_n(x) = \sqrt{n}(nx^{n-1} - (n+1)x^n)$ not uniformly convergent

Published on 13 Jul 2018 - 3:08

score 4.2k · Answer 4 · 2026-03-23 01:49:49

4.2k

Views

Does pointwise convergence to a continuous function on a closed interval imply uniform convergence?

Published on 23 Mar 2026 - 1:49

score 481 · Answer 5 · 2026-03-23 00:24:22

481

Views

Fourier series: $\hat f(n)=O(1/n)$ and $f$ continuous implies uniform convergence?

Published on 23 Mar 2026 - 0:24

score 72 · Answer 6 · 2018-07-17 16:16:18

72

Views

converge of the series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^3+x}$ to continuously differentiable function

Published on 17 Jul 2018 - 16:16

score 71 · Answer 7 · 2026-03-25 22:06:17

71

Views

Should a sequence of entire functions that converges on the disk to an entire function converge on the whole plane?

Published on 25 Mar 2026 - 22:06

score 428 · Answer 8 · 2026-03-23 13:16:07

428

Views

Pointwise convergence to $\exp(-x^2)$ implies uniform convergence in set of functions of compact support

Published on 23 Mar 2026 - 13:16

score 61 · Answer 9 · 2026-03-25 14:00:37

61

Views

Prove that a sequence converges

Published on 25 Mar 2026 - 14:00

score 99 · Answer 10 · 2026-03-22 03:30:22

99

Views

Example Not convergent uniformly

Published on 22 Mar 2026 - 3:30

score 449 · Answer 11 · 2018-07-21 18:21:51

449

Views

Taking the derivative of $\sum_\limits{n=1}^{\infty}\arctan(\frac{x}{n^2})$

Published on 21 Jul 2018 - 18:21

score 102 · Answer 12 · 2018-07-21 21:22:43

102

Views

Why $ \sum_{k=1}^{\infty}\frac{1}{k^{1+x}} $ is not uniformly convergent on $ \left(0,\;+\infty\right) $

Published on 21 Jul 2018 - 21:22

score 168 · Answer 13 · 2018-07-22 19:33:27

168

Views

Uniform Convergence of functions in a ray, using Dini`s Theorem

Published on 22 Jul 2018 - 19:33

score 117 · Answer 14 · 2018-07-23 12:25:35

117

Views

$\lim \int_0^{\infty} \frac1n e^{-\frac{t}{n}} dt \ne \int_0^{\infty} \lim \frac1n e^{-\frac{t}{n}} dt$ in complex as in real?

Published on 23 Jul 2018 - 12:25

score 531 · Answer 15 · 2018-07-25 07:41:57

531

Views

Does $\sin ^n x$ converge uniformly on $[0,\frac{\pi}{2})$?

Published on 25 Jul 2018 - 7:41

List Question

How to show following converges to $1$ uniformly?

Prove that $\sum_{k\ge 1}\frac{kg(x^2)}{1+k^3[g(x^2)]^2}$ does not converge uniformly on the real line

How to show the sequence of functions $f_n(x) = \sqrt{n}(nx^{n-1} - (n+1)x^n)$ not uniformly convergent

Does pointwise convergence to a continuous function on a closed interval imply uniform convergence?

Fourier series: $\hat f(n)=O(1/n)$ and $f$ continuous implies uniform convergence?

converge of the series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^3+x}$ to continuously differentiable function

Should a sequence of entire functions that converges on the disk to an entire function converge on the whole plane?

Pointwise convergence to $\exp(-x^2)$ implies uniform convergence in set of functions of compact support

Prove that a sequence converges

Example Not convergent uniformly

Taking the derivative of $\sum_\limits{n=1}^{\infty}\arctan(\frac{x}{n^2})$

Why $ \sum_{k=1}^{\infty}\frac{1}{k^{1+x}} $ is not uniformly convergent on $ \left(0,\;+\infty\right) $

Uniform Convergence of functions in a ray, using Dini`s Theorem

$\lim \int_0^{\infty} \frac1n e^{-\frac{t}{n}} dt \ne \int_0^{\infty} \lim \frac1n e^{-\frac{t}{n}} dt$ in complex as in real?

Does $\sin ^n x$ converge uniformly on $[0,\frac{\pi}{2})$?

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