Question

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

score 120 · Answer 1 · 2019-06-04 09:28:44

120

Views

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

Published on 04 Jun 2019 - 9:28

score 103 · Answer 2 · 2026-03-25 06:06:25

103

Views

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

Published on 25 Mar 2026 - 6:06

score 64 · Answer 3 · 2019-06-10 21:26:48

64

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 10 Jun 2019 - 21:26

score 535 · Answer 4 · 2019-06-11 09:14:08

535

Views

A sequence of continuously differentiable functions with non-differentiable limit

Published on 11 Jun 2019 - 9:14

score 98 · Answer 5 · 2026-02-23 17:25:57

98

Views

Proof for uniform convergence of a sequence of functions

Published on 23 Feb 2026 - 17:25

score 84 · Answer 6 · 2019-06-11 10:47:52

84

Views

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

Published on 11 Jun 2019 - 10:47

score 454 · Answer 7 · 2019-06-11 10:53:23

454

Views

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

Published on 11 Jun 2019 - 10:53

score 51 · Answer 8 · 2019-06-12 22:19:52

51

Views

real analysis: uniform convergence of sequence of functions.

Published on 12 Jun 2019 - 22:19

score 38 · Answer 9 · 2019-06-15 20:02:00

38

Views

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

Published on 15 Jun 2019 - 20:02

score 566 · Answer 10 · 2019-06-16 08:03:31

566

Views

Uniform convergence on $R_0$ implies uniform convergence on R

Published on 16 Jun 2019 - 8:03

score 334 · Answer 11 · 2019-06-18 22:47:35

334

Views

Uniform convergence of sequence of analytic functions

Published on 18 Jun 2019 - 22:47

score 405 · Answer 12 · 2026-03-22 20:30:46

405

Views

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

Published on 22 Mar 2026 - 20:30

score 153 · Answer 13 · 2019-06-20 13:57:41

153

Views

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

Published on 20 Jun 2019 - 13:57

score 46 · Answer 14 · 2019-06-20 17:37:40

46

Views

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

Published on 20 Jun 2019 - 17:37

score 2.1k · Answer 15 · 2026-03-26 03:18:37

2.1k

Views

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

Published on 26 Mar 2026 - 3:18

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

Trending Questions

Popular # Hahtags

Popular Questions