Question

Determine if $f_n(x)=\frac{1-x}{1+x^n}$ converges uniformly on $[0,2]$

score 123 · Answer 1 · 2026-04-17 23:19:02

123

Views

Determine if $f_n(x)=\frac{1-x}{1+x^n}$ converges uniformly on $[0,2]$

Published on 17 Apr 2026 - 23:19

score 104 · Answer 2 · 2026-05-10 20:03:59

104

Views

Using hyperreals to express the interval of uniform convergence of $x^n$ in a closed form

Published on 10 May 2026 - 20:03

score 67 · Answer 3 · 2026-04-15 20:02:50

67

Views

Investigate $\sum_{n\geq1}\frac{3^nx^n\left(\frac{1}{3}-x\right)}{n}$ for uniform convergence on $x\in [0, \frac{1}{3}]$: is my solution correct?

Published on 15 Apr 2026 - 20:02

score 537 · Answer 4 · 2026-04-15 00:19:31

537

Views

A sequence of continuously differentiable functions with non-differentiable limit

Published on 15 Apr 2026 - 0:19

score 101 · Answer 5 · 2026-04-13 14:39:51

101

Views

Proof for uniform convergence of a sequence of functions

Published on 13 Apr 2026 - 14:39

score 87 · Answer 6 · 2026-04-17 10:40:04

87

Views

Uniform Convergence of the series $2^n x^{2^n - 1}/(1 + x^{2^n})$

Published on 17 Apr 2026 - 10:40

score 457 · Answer 7 · 2026-04-17 11:19:59

457

Views

Uniform convergence of series $\sum x/(n^p + x^2n^q)$ for $p > 1$ and $q \leq 0$

Published on 17 Apr 2026 - 11:19

score 54 · Answer 8 · 2026-04-13 08:26:38

54

Views

real analysis: uniform convergence of sequence of functions.

Published on 13 Apr 2026 - 8:26

score 41 · Answer 9 · 2026-04-12 08:18:42

41

Views

How to complete this uniform convergence proof by dividing the real line in appropriate segments?

Published on 12 Apr 2026 - 8:18

score 569 · Answer 10 · 2026-04-13 21:34:40

569

Views

Uniform convergence on $R_0$ implies uniform convergence on R

Published on 13 Apr 2026 - 21:34

score 337 · Answer 11 · 2026-04-15 15:20:37

337

Views

Uniform convergence of sequence of analytic functions

Published on 15 Apr 2026 - 15:20

score 406 · Answer 12 · 2026-04-11 22:26:39

406

Views

If a sequence of holomorphic functions converge to a continuous function, is the limit holomorphic?

Published on 11 Apr 2026 - 22:26

score 156 · Answer 13 · 2026-04-16 12:16:17

156

Views

Uniform convergence of series $\sum_{n=1}^{\infty} \frac{1}{(nx)^2+1}$

Published on 16 Apr 2026 - 12:16

score 49 · Answer 14 · 2026-04-12 16:08:30

49

Views

Function with poles in $z=-n$ and residue $n$

Published on 12 Apr 2026 - 16:08

score 2.1k · Answer 15 · 2026-05-11 07:40:39

2.1k

Views

C[a,b] with Sup-Norm is complete

Published on 11 May 2026 - 7:40

List Question

Determine if $f_n(x)=\frac{1-x}{1+x^n}$ converges uniformly on $[0,2]$

Using hyperreals to express the interval of uniform convergence of $x^n$ in a closed form

Investigate $\sum_{n\geq1}\frac{3^nx^n\left(\frac{1}{3}-x\right)}{n}$ for uniform convergence on $x\in [0, \frac{1}{3}]$: is my solution correct?

A sequence of continuously differentiable functions with non-differentiable limit

Proof for uniform convergence of a sequence of functions

Uniform Convergence of the series $2^n x^{2^n - 1}/(1 + x^{2^n})$

Uniform convergence of series $\sum x/(n^p + x^2n^q)$ for $p > 1$ and $q \leq 0$

real analysis: uniform convergence of sequence of functions.

How to complete this uniform convergence proof by dividing the real line in appropriate segments?

Uniform convergence on $R_0$ implies uniform convergence on R

Uniform convergence of sequence of analytic functions

If a sequence of holomorphic functions converge to a continuous function, is the limit holomorphic?

Uniform convergence of series $\sum_{n=1}^{\infty} \frac{1}{(nx)^2+1}$

Function with poles in $z=-n$ and residue $n$

C[a,b] with Sup-Norm is complete

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