Question

Convergence of a power series on specified interval

score 105 · Answer 1 · 2026-04-12 20:30:03

105

Views

Convergence of a power series on specified interval

Published on 12 Apr 2026 - 20:30

score 106 · Answer 2 · 2026-04-15 04:40:44

106

Views

Continuous limit of continuous functions with a distance condition

Published on 15 Apr 2026 - 4:40

score 186 · Answer 3 · 2026-04-14 10:16:39

186

Views

Sequence of decreasing functions converging to a continuous limit, is the convergence locally uniform?

Published on 14 Apr 2026 - 10:16

score 161 · Answer 4 · 2026-05-10 12:34:28

161

Views

The continuity of linear functionals with respect to uniform convergence of entire functions on balls

Published on 10 May 2026 - 12:34

score 105 · Answer 5 · 2026-04-14 08:19:43

105

Views

Local uniform convergence of the terms of a sum is sufficient for convergence of the partial sum?

Published on 14 Apr 2026 - 8:19

score 33 · Answer 6 · 2026-04-10 06:14:07

33

Views

Proof Verification on Convergence

Published on 10 Apr 2026 - 6:14

score 29 · Answer 7 · 2026-04-14 00:50:42

29

Views

Convergence of series of functions implies uniform convergence of series of functions

Published on 14 Apr 2026 - 0:50

score 446 · Answer 8 · 2026-05-11 06:37:52

446

Views

Prove that this sequence does NOT converge uniformly on [0,1] AND (0,1).

Published on 11 May 2026 - 6:37

score 326 · Answer 9 · 2026-04-16 21:00:57

326

Views

Show that $f_n(x)= \frac{\sin^2(n^{\alpha}x)}{nx}$ is not uniformly convergent for $\alpha \geq 1$ and $x \neq 0$

Published on 16 Apr 2026 - 21:00

score 93 · Answer 10 · 2026-04-10 13:48:43

93

Views

continues function and uniformly convergent

Published on 10 Apr 2026 - 13:48

score 88 · Answer 11 · 2026-04-09 08:07:59

88

Views

Example of a convergent pointwise sequence of function and not uniformly convergent

Published on 09 Apr 2026 - 8:07

score 67 · Answer 12 · 2026-04-15 13:58:13

67

Views

Uniform convergence of $\lim_{x \to 0} y^x = 1$

Published on 15 Apr 2026 - 13:58

score 232 · Answer 13 · 2026-04-16 06:15:27

232

Views

Uniform convergence of ${(1-\frac{x^2}{n})^n}$

Published on 16 Apr 2026 - 6:15

score 97 · Answer 14 · 2026-04-19 08:13:02

97

Views

Uniform Convergence of $\sum_{n=1}^{\infty}(-1)^{n-1}\frac{x^2}{(1+x^2)^n}$ in $\mathbb{R}$

Published on 19 Apr 2026 - 8:13

score 461 · Answer 15 · 2026-04-13 19:11:26

461

Views

Bounded sequence of functions uniformly converges to bounded function

Published on 13 Apr 2026 - 19:11

List Question

Convergence of a power series on specified interval

Continuous limit of continuous functions with a distance condition

Sequence of decreasing functions converging to a continuous limit, is the convergence locally uniform?

The continuity of linear functionals with respect to uniform convergence of entire functions on balls

Local uniform convergence of the terms of a sum is sufficient for convergence of the partial sum?

Proof Verification on Convergence

Convergence of series of functions implies uniform convergence of series of functions

Prove that this sequence does NOT converge uniformly on [0,1] AND (0,1).

Show that $f_n(x)= \frac{\sin^2(n^{\alpha}x)}{nx}$ is not uniformly convergent for $\alpha \geq 1$ and $x \neq 0$

continues function and uniformly convergent

Example of a convergent pointwise sequence of function and not uniformly convergent

Uniform convergence of $\lim_{x \to 0} y^x = 1$

Uniform convergence of ${(1-\frac{x^2}{n})^n}$

Uniform Convergence of $\sum_{n=1}^{\infty}(-1)^{n-1}\frac{x^2}{(1+x^2)^n}$ in $\mathbb{R}$

Bounded sequence of functions uniformly converges to bounded function

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