Question

Uniform Convergence for $\sum\limits_{n=1}^{\infty}{\frac{x^{n}}{100+x^{2n}}}$

score 57 · Answer 1 · 2026-02-24 10:37:37

57

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Uniform Convergence for $\sum\limits_{n=1}^{\infty}{\frac{x^{n}}{100+x^{2n}}}$

Published on 24 Feb 2026 - 10:37

score 198 · Answer 2 · 2026-02-24 10:41:58

198

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Show that $f_n$ converges uniformly to some continuous function $f(x)$ defined in R.

Published on 24 Feb 2026 - 10:41

score 37 · Answer 3 · 2026-02-24 03:50:38

37

Views

Prove $∪_{k=1}^N[x_k − δ, x_k + δ] ⊃ [0, 1]$

Published on 24 Feb 2026 - 3:50

score 114 · Answer 4 · 2026-02-24 12:39:21

114

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Prove that $f_n$ converges uniformly to some continuous function $f(x)$ defined in R.

Published on 24 Feb 2026 - 12:39

score 196 · Answer 5 · 2026-02-24 12:35:13

196

Views

Question regarding sequence of continuous functions

Published on 24 Feb 2026 - 12:35

score 569 · Answer 6 · 2020-03-30 07:29:31

569

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Topology of Uniform Convergence and Compact-Open Topology

Published on 30 Mar 2020 - 7:29

score 50 · Answer 7 · 2026-02-24 12:40:23

50

Views

Series $\sum \limits_{k=1}^{\infty}f_{n}(x)$ converges uniformly, but $\sum \limits_{k=1}^{\infty}|f_{n}(x)|$ converges only pointwise

Published on 24 Feb 2026 - 12:40

score 135 · Answer 8 · 2020-03-31 18:20:22

135

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Convergence in measure implies $L^1$-convergence assuming $||f_n||_{L^p}$ is unif. bounded

Published on 31 Mar 2020 - 18:20

score 42 · Answer 9 · 2020-04-02 07:23:39

42

Views

Uniform convergence $\ \sum_{n=0}^\infty \frac{xe^{-nx}}{e^x-1} $

Published on 02 Apr 2020 - 7:23

score 61 · Answer 10 · 2026-03-27 04:58:03

61

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Convergence and differentiability of $\ \sum_{n=0}^\infty\cos(\frac{x}{n})-1 $

Published on 27 Mar 2026 - 4:58

score 51 · Answer 11 · 2020-04-02 09:41:57

51

Views

Proof of the differentiability $\sum\limits_{n=1}^\infty (-1)^{n+1}\ln(1+\frac{x}{n}) $

Published on 02 Apr 2020 - 9:41

score 61 · Answer 12 · 2020-04-02 16:40:13

61

Views

How to find sum of $\sum_{n=1}^{\infty}(-1)^n \frac{1}{n^2}$

Published on 02 Apr 2020 - 16:40

score 102 · Answer 13 · 2020-04-02 17:46:00

102

Views

Prove that $2nx(1 + (nx)^2)^{-1}$ converges uniformly

Published on 02 Apr 2020 - 17:46

score 113 · Answer 14 · 2020-04-02 23:38:48

113

Views

Uniform continuity of a sequence of functions of type $f_n(x)=f(nx)$

Published on 02 Apr 2020 - 23:38

score 28 · Answer 15 · 2020-04-05 22:29:55

28

Views

Check for uniform convergence of a function series

Published on 05 Apr 2020 - 22:29

List Question

Uniform Convergence for $\sum\limits_{n=1}^{\infty}{\frac{x^{n}}{100+x^{2n}}}$

Show that $f_n$ converges uniformly to some continuous function $f(x)$ defined in R.

Prove $∪_{k=1}^N[x_k − δ, x_k + δ] ⊃ [0, 1]$

Prove that $f_n$ converges uniformly to some continuous function $f(x)$ defined in R.

Question regarding sequence of continuous functions

Topology of Uniform Convergence and Compact-Open Topology

Series $\sum \limits_{k=1}^{\infty}f_{n}(x)$ converges uniformly, but $\sum \limits_{k=1}^{\infty}|f_{n}(x)|$ converges only pointwise

Convergence in measure implies $L^1$-convergence assuming $||f_n||_{L^p}$ is unif. bounded

Uniform convergence $\ \sum_{n=0}^\infty \frac{xe^{-nx}}{e^x-1} $

Convergence and differentiability of $\ \sum_{n=0}^\infty\cos(\frac{x}{n})-1 $

Proof of the differentiability $\sum\limits_{n=1}^\infty (-1)^{n+1}\ln(1+\frac{x}{n}) $

How to find sum of $\sum_{n=1}^{\infty}(-1)^n \frac{1}{n^2}$

Prove that $2nx(1 + (nx)^2)^{-1}$ converges uniformly

Uniform continuity of a sequence of functions of type $f_n(x)=f(nx)$

Check for uniform convergence of a function series

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