Question

Show that the sequence of functions $\{f_n\}$ is not uniformly convergent on $\Bbb R.$

score 1.1k · Answer 1 · 2026-02-24 07:17:24

1.1k

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Show that the sequence of functions $\{f_n\}$ is not uniformly convergent on $\Bbb R.$

Published on 24 Feb 2026 - 7:17

score 204 · Answer 2 · 2020-01-18 04:09:49

204

Views

Test uniform convergence of series $\sum_{n=1}^{\infty}\frac{x}{(n+x)^2}$

Published on 18 Jan 2020 - 4:09

score 242 · Answer 3 · 2020-01-18 05:40:26

242

Views

Radius of convergence of a complex series

Published on 18 Jan 2020 - 5:40

score 87 · Answer 4 · 2020-01-18 18:18:54

87

Views

Uniform convergence of $\frac{2nx}{n + nx^4 + \cos(nx)}$ for $x \in R$ and $n \in \mathbb{N}$ with $n \ge 2$

Published on 18 Jan 2020 - 18:18

score 87 · Answer 5 · 2020-01-18 20:58:54

87

Views

series: $S(x)=\sum_{n=0}^\infty x^n(1-x)^2$ is NOT uniformly convergent in $[0,1]$

Published on 18 Jan 2020 - 20:58

score 62 · Answer 6 · 2020-01-18 21:37:53

62

Views

If $f_n \to f$ in measure then there exists a subsequence s.t $f_{n_k} \to f$ almost uniformly.

Published on 18 Jan 2020 - 21:37

score 132 · Answer 7 · 2020-01-19 00:20:12

132

Views

Properties of uniform convergent series

Published on 19 Jan 2020 - 0:20

score 279 · Answer 8 · 2020-01-19 19:14:37

279

Views

Cauchy imply uniform convergence in metric spaces?

Published on 19 Jan 2020 - 19:14

score 175 · Answer 9 · 2020-01-21 16:38:28

175

Views

Uniform convergence of $f_n:[1,\pi] \rightarrow \mathbb{R}, \, f_n(x):= \frac{\cos(x/n)}{1-e^{-xn}}$

Published on 21 Jan 2020 - 16:38

score 110 · Answer 10 · 2026-03-26 06:21:37

110

Views

Uniform and absolute convergence of the given series

Published on 26 Mar 2026 - 6:21

score 40 · Answer 11 · 2020-01-22 09:38:52

40

Views

Uniform convergence of $\sum_{n=1}^{+\infty}(-1)^n\frac{x}{x+e^{-nx}} $

Published on 22 Jan 2020 - 9:38

score 147 · Answer 12 · 2020-01-22 11:28:03

147

Views

fourier series and bessel inequality correlation

Published on 22 Jan 2020 - 11:28

score 54 · Answer 13 · 2026-02-24 02:13:00

54

Views

When does the convergence of Taylor coefficients imply pointwise convergence?

Published on 24 Feb 2026 - 2:13

score 86 · Answer 14 · 2026-02-24 02:11:42

86

Views

Why is $|S_{m}-S_{n}|$ a Cauchy sequence in Weierstrass’ M-test?

Published on 24 Feb 2026 - 2:11

score 32 · Answer 15 · 2020-01-23 03:04:35

32

Views

Finding $\int_{-\pi}^{\pi} f(x)dx$, where $f(x) = \sum_{k=1}^{\infty} \frac{\cos{(k^2x)}}{k^p}$, with $p > 1$ and $x \in \mathbb{R}$

Published on 23 Jan 2020 - 3:04

List Question

Show that the sequence of functions $\{f_n\}$ is not uniformly convergent on $\Bbb R.$

Test uniform convergence of series $\sum_{n=1}^{\infty}\frac{x}{(n+x)^2}$

Radius of convergence of a complex series

Uniform convergence of $\frac{2nx}{n + nx^4 + \cos(nx)}$ for $x \in R$ and $n \in \mathbb{N}$ with $n \ge 2$

series: $S(x)=\sum_{n=0}^\infty x^n(1-x)^2$ is NOT uniformly convergent in $[0,1]$

If $f_n \to f$ in measure then there exists a subsequence s.t $f_{n_k} \to f$ almost uniformly.

Properties of uniform convergent series

Cauchy imply uniform convergence in metric spaces?

Uniform convergence of $f_n:[1,\pi] \rightarrow \mathbb{R}, \, f_n(x):= \frac{\cos(x/n)}{1-e^{-xn}}$

Uniform and absolute convergence of the given series

Uniform convergence of $\sum_{n=1}^{+\infty}(-1)^n\frac{x}{x+e^{-nx}} $

fourier series and bessel inequality correlation

When does the convergence of Taylor coefficients imply pointwise convergence?

Why is $|S_{m}-S_{n}|$ a Cauchy sequence in Weierstrass’ M-test?

Finding $\int_{-\pi}^{\pi} f(x)dx$, where $f(x) = \sum_{k=1}^{\infty} \frac{\cos{(k^2x)}}{k^p}$, with $p > 1$ and $x \in \mathbb{R}$

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