Question

Uniform convergence of length of a curve

score 242 · Answer 1 · 2026-04-15 23:31:48

242

Views

Uniform convergence of length of a curve

Published on 15 Apr 2026 - 23:31

score 55 · Answer 2 · 2026-04-17 05:47:57

55

Views

Uniform convergence of $f_n(x) = (1+x^n)^\frac{1}{n}$

Published on 17 Apr 2026 - 5:47

score 160 · Answer 3 · 2026-04-15 15:15:13

160

Views

Prove that uniform convergence almost everywhere implies convergence almost uniformly?

Published on 15 Apr 2026 - 15:15

score 70 · Answer 4 · 2026-04-12 01:00:58

70

Views

Series with negative indexes

Published on 12 Apr 2026 - 1:00

score 77 · Answer 5 · 2026-04-19 01:17:23

77

Views

Give an example of a sequence of functions $f_n$ which is uniformly convergent on $(-1,1)$ and for which $\{f'_n(0)\}$ is unbounded.

Published on 19 Apr 2026 - 1:17

score 94 · Answer 6 · 2026-04-15 06:09:01

94

Views

Why is $1- \cos ( x+ \sin (x+ \sin(x +\sin(x + \cdots))))$ the cycloid?

Published on 15 Apr 2026 - 6:09

score 73 · Answer 7 · 2026-04-11 20:00:18

73

Views

Understanding method for disproving uniform convergence

Published on 11 Apr 2026 - 20:00

score 569 · Answer 8 · 2026-04-19 01:16:12

569

Views

Uniform convergence of $f_n(x)=nx^n(1-x^n)$ on $[0,1]$

Published on 19 Apr 2026 - 1:16

score 125 · Answer 9 · 2026-05-05 07:53:17

125

Views

union of locally convergent domains regarding $\zeta(s)=\sum1/n^s$

Published on 05 May 2026 - 7:53

score 1.2k · Answer 10 · 2026-04-14 01:25:45

1.2k

Views

Uniform convergence of a sequence of continuous functions on a compact set

Published on 14 Apr 2026 - 1:25

score 69 · Answer 11 · 2026-04-13 15:29:46

69

Views

Showing a simple example of uniform convergence in probability

Published on 13 Apr 2026 - 15:29

score 52 · Answer 12 · 2026-04-13 09:49:36

52

Views

Is the limit of an equality equal to equality of a limit when we have uniform convergence?

Published on 13 Apr 2026 - 9:49

score 74 · Answer 13 · 2026-04-16 14:02:02

74

Views

If $f:\mathbb{R} \to \mathbb{R}$ is uniformly continuous on $\mathbb{R}$, show that $f(x-1/n)$ converges uniformly on $\mathbb{R}$

Published on 16 Apr 2026 - 14:02

score 128 · Answer 14 · 2026-04-14 10:47:24

128

Views

Proof that the supremum of a sequence of cadlag functions converging uniformly is also cadlag

Published on 14 Apr 2026 - 10:47

score 30 · Answer 15 · 2026-04-18 14:30:44

30

Views

Show the sequence uniformly converge to null function.

Published on 18 Apr 2026 - 14:30

List Question

Uniform convergence of length of a curve

Uniform convergence of $f_n(x) = (1+x^n)^\frac{1}{n}$

Prove that uniform convergence almost everywhere implies convergence almost uniformly?

Series with negative indexes

Give an example of a sequence of functions $f_n$ which is uniformly convergent on $(-1,1)$ and for which $\{f'_n(0)\}$ is unbounded.

Why is $1- \cos ( x+ \sin (x+ \sin(x +\sin(x + \cdots))))$ the cycloid?

Understanding method for disproving uniform convergence

Uniform convergence of $f_n(x)=nx^n(1-x^n)$ on $[0,1]$

union of locally convergent domains regarding $\zeta(s)=\sum1/n^s$

Uniform convergence of a sequence of continuous functions on a compact set

Showing a simple example of uniform convergence in probability

Is the limit of an equality equal to equality of a limit when we have uniform convergence?

If $f:\mathbb{R} \to \mathbb{R}$ is uniformly continuous on $\mathbb{R}$, show that $f(x-1/n)$ converges uniformly on $\mathbb{R}$

Proof that the supremum of a sequence of cadlag functions converging uniformly is also cadlag

Show the sequence uniformly converge to null function.

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