Question

Behaviour of $f_n(x) = \sin (\frac{x}{n})$ for each $x ∈ \Bbb{R} $ and $n ∈ \Bbb{N}$

score 73 · Answer 1 · 2026-04-16 05:35:24

73

Views

Behaviour of $f_n(x) = \sin (\frac{x}{n})$ for each $x ∈ \Bbb{R} $ and $n ∈ \Bbb{N}$

Published on 16 Apr 2026 - 5:35

score 378 · Answer 2 · 2026-05-11 07:22:34

378

Views

In what way is convergence in operator norm 'better' than other forms of convergence?

Published on 11 May 2026 - 7:22

score 91 · Answer 3 · 2026-04-12 10:08:29

91

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Study simple convergence of $\sum_{n=0}^{\infty} x^{2n}$ on $[0,1[$

Published on 12 Apr 2026 - 10:08

score 1.5k · Answer 4 · 2026-04-17 01:12:21

1.5k

Views

check uniform convergence of $f_n(x)=\begin{cases} 1-nx &\text{if}\;x \in [0,1/n]\\\\0 &\text{if}\;x \in [1/n,1] \end{cases}$

Published on 17 Apr 2026 - 1:12

score 39 · Answer 5 · 2026-04-14 10:38:57

39

Views

If a power series converges uniformly to f on some open U and f in C1 on R, does the series converge everywhere?

Published on 14 Apr 2026 - 10:38

score 38 · Answer 6 · 2026-05-10 12:36:41

38

Views

Z transform and non-$\ell^{1}$ causal sequences

Published on 10 May 2026 - 12:36

score 41 · Answer 7 · 2026-04-10 07:14:52

41

Views

Need help with proving/understanding uniform convergence of derivatives of analytic function. (Proof Verification)

Published on 10 Apr 2026 - 7:14

score 94 · Answer 8 · 2026-04-11 08:30:02

94

Views

Question Regarding Proof of Arzela Ascoli.

Published on 11 Apr 2026 - 8:30

score 111 · Answer 9 · 2026-04-14 02:08:17

111

Views

Does The Fourier Series of $\sin(px)$ uniformly converges when $p \notin \Bbb Z$

Published on 14 Apr 2026 - 2:08

score 1.1k · Answer 10 · 2026-04-15 22:00:57

1.1k

Views

prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly

Published on 15 Apr 2026 - 22:00

score 254 · Answer 11 · 2026-04-14 08:33:17

254

Views

Showing the existence of a subsequence that converge locally uniformly

Published on 14 Apr 2026 - 8:33

score 114 · Answer 12 · 2026-04-17 05:52:43

114

Views

Which of the following imply $\lim_{n \to \infty} \int_{0}^1 f_n(x)dx= \int_{0}^1 f(x)dx$?

Published on 17 Apr 2026 - 5:52

score 45 · Answer 13 · 2026-04-16 06:15:18

45

Views

Uniform continuity exchanges derivative

Published on 16 Apr 2026 - 6:15

score 236 · Answer 14 · 2026-04-15 09:58:06

236

Views

Series of continuous positive functions: uniform convergence?

Published on 15 Apr 2026 - 9:58

score 80 · Answer 15 · 2026-04-15 20:25:39

80

Views

Uniform convergence of $f(x) = \sum_{n=0}^\infty x^n(1-x)^n$ in $(0,1)$

Published on 15 Apr 2026 - 20:25

List Question

Behaviour of $f_n(x) = \sin (\frac{x}{n})$ for each $x ∈ \Bbb{R} $ and $n ∈ \Bbb{N}$

In what way is convergence in operator norm 'better' than other forms of convergence?

Study simple convergence of $\sum_{n=0}^{\infty} x^{2n}$ on $[0,1[$

check uniform convergence of $f_n(x)=\begin{cases} 1-nx &\text{if}\;x \in [0,1/n]\\\\0 &\text{if}\;x \in [1/n,1] \end{cases}$

If a power series converges uniformly to f on some open U and f in C1 on R, does the series converge everywhere?

Z transform and non-$\ell^{1}$ causal sequences

Need help with proving/understanding uniform convergence of derivatives of analytic function. (Proof Verification)

Question Regarding Proof of Arzela Ascoli.

Does The Fourier Series of $\sin(px)$ uniformly converges when $p \notin \Bbb Z$

prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly

Showing the existence of a subsequence that converge locally uniformly

Which of the following imply $\lim_{n \to \infty} \int_{0}^1 f_n(x)dx= \int_{0}^1 f(x)dx$?

Uniform continuity exchanges derivative

Series of continuous positive functions: uniform convergence?

Uniform convergence of $f(x) = \sum_{n=0}^\infty x^n(1-x)^n$ in $(0,1)$

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