Question

How to show following converges to $1$ uniformly?

score 58 · Answer 1 · 2026-05-14 07:46:02

58

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How to show following converges to $1$ uniformly?

Published on 14 May 2026 - 7:46

score 94 · Answer 2 · 2026-05-14 08:54:25

94

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 14 May 2026 - 8:54

score 95 · Answer 3 · 2026-04-17 02:15:36

95

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 17 Apr 2026 - 2:15

score 4.2k · Answer 4 · 2026-04-09 15:21:34

4.2k

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

Published on 09 Apr 2026 - 15:21

score 486 · Answer 5 · 2026-04-29 10:25:42

486

Views

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

Published on 29 Apr 2026 - 10:25

score 75 · Answer 6 · 2026-05-14 16:03:31

75

Views

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

Published on 14 May 2026 - 16:03

score 74 · Answer 7 · 2026-05-11 09:48:07

74

Views

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

Published on 11 May 2026 - 9:48

score 429 · Answer 8 · 2026-04-09 15:23:49

429

Views

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

Published on 09 Apr 2026 - 15:23

score 64 · Answer 9 · 2026-05-11 07:15:36

64

Views

Prove that a sequence converges

Published on 11 May 2026 - 7:15

score 109 · Answer 10 · 2026-05-12 08:50:47

109

Views

Example Not convergent uniformly

Published on 12 May 2026 - 8:50

score 453 · Answer 11 · 2026-05-14 17:54:37

453

Views

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

Published on 14 May 2026 - 17:54

score 106 · Answer 12 · 2026-05-14 17:54:46

106

Views

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

Published on 14 May 2026 - 17:54

score 171 · Answer 13 · 2026-04-15 00:06:06

171

Views

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

Published on 15 Apr 2026 - 0:06

score 121 · Answer 14 · 2026-05-14 18:26:18

121

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 14 May 2026 - 18:26

score 534 · Answer 15 · 2026-04-14 08:38:50

534

Views

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

Published on 14 Apr 2026 - 8:38

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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