Question

Theorem 7.17 in Baby Rudin: Differentiability of the limit function of a uniformly convergent sequence

score 269 · Answer 1 · 2026-04-14 17:35:12

269

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Theorem 7.17 in Baby Rudin: Differentiability of the limit function of a uniformly convergent sequence

Published on 14 Apr 2026 - 17:35

score 74 · Answer 2 · 2026-04-17 23:11:56

74

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Does the serie $\sum_{n=1}^{\infty}\frac{n^2}{\sqrt{n!}}(x^n+x^{-n})$ converges for $x\in[\frac{1}{2},2]$?

Published on 17 Apr 2026 - 23:11

score 50 · Answer 3 · 2026-04-15 12:44:34

50

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Uniform Convergence and Subsequences

Published on 15 Apr 2026 - 12:44

score 156 · Answer 4 · 2026-04-17 09:03:47

156

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Does $f_n:[0,0.5]\to[0,0.5], f_n(x)=x^n$ uniformly converge to $f:[0,0.5]\to[0,0.5], f(x)=0$?

Published on 17 Apr 2026 - 9:03

score 57 · Answer 5 · 2026-04-14 06:18:34

57

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Doubt in the study of the uniform convergence of $\sum_{k \geq 2} e^{kx}$: limit of a supremum that is $\infty$

Published on 14 Apr 2026 - 6:18

score 318 · Answer 6 · 2026-04-15 04:54:37

318

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holomorphic function $f_n$ converges uniformly on $\partial D$

Published on 15 Apr 2026 - 4:54

score 17 · Answer 7 · 2026-04-15 04:04:15

17

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Showing Uniform Convergence fails on a set

Published on 15 Apr 2026 - 4:04

score 58 · Answer 8 · 2026-04-11 15:14:30

58

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How to show failure of uniform convergence on a set

Published on 11 Apr 2026 - 15:14

score 126 · Answer 9 · 2026-04-16 14:18:05

126

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If a sequence $f_n$ converges uniformly to $f$, then the Riemann integral $\lim_{n\to\infty}\int f_n=\int f$ - is my proof correct?

Published on 16 Apr 2026 - 14:18

score 112 · Answer 10 · 2026-04-10 22:52:50

112

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Explanation of the proof of absolute convergence of $ \zeta(s, a) $

Published on 10 Apr 2026 - 22:52

score 64 · Answer 11 · 2026-04-14 08:19:33

64

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Convergence of improper integral of c.d.f.

Published on 14 Apr 2026 - 8:19

score 186 · Answer 12 · 2026-04-14 05:25:15

186

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Uniformly convergence of sequence of functions

Published on 14 Apr 2026 - 5:25

score 113 · Answer 13 · 2026-04-14 03:38:53

113

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If a sequence of functions diverges pointwise to infinity, does its integral diverge?

Published on 14 Apr 2026 - 3:38

score 156 · Answer 14 · 2026-04-13 16:58:04

156

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Uniform convergence of a series of functions with arctan

Published on 13 Apr 2026 - 16:58

score 494 · Answer 15 · 2026-04-16 14:40:25

494

Views

Prove Uniform convergence of ${(1+x/n)}^n$ in Real numbers.

Published on 16 Apr 2026 - 14:40

List Question

Theorem 7.17 in Baby Rudin: Differentiability of the limit function of a uniformly convergent sequence

Does the serie $\sum_{n=1}^{\infty}\frac{n^2}{\sqrt{n!}}(x^n+x^{-n})$ converges for $x\in[\frac{1}{2},2]$?

Uniform Convergence and Subsequences

Does $f_n:[0,0.5]\to[0,0.5], f_n(x)=x^n$ uniformly converge to $f:[0,0.5]\to[0,0.5], f(x)=0$?

Doubt in the study of the uniform convergence of $\sum_{k \geq 2} e^{kx}$: limit of a supremum that is $\infty$

holomorphic function $f_n$ converges uniformly on $\partial D$

Showing Uniform Convergence fails on a set

How to show failure of uniform convergence on a set

If a sequence $f_n$ converges uniformly to $f$, then the Riemann integral $\lim_{n\to\infty}\int f_n=\int f$ - is my proof correct?

Explanation of the proof of absolute convergence of $ \zeta(s, a) $

Convergence of improper integral of c.d.f.

Uniformly convergence of sequence of functions

If a sequence of functions diverges pointwise to infinity, does its integral diverge?

Uniform convergence of a series of functions with arctan

Prove Uniform convergence of ${(1+x/n)}^n$ in Real numbers.

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