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Question about uniform convergence interval

score 102 · Answer 1 · 2026-04-12 12:38:25

102

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Question about uniform convergence interval

Published on 12 Apr 2026 - 12:38

score 43 · Answer 2 · 2026-04-15 13:01:11

43

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Show $|f(x + \delta_n) - f(x)| < \epsilon_n$ for $\epsilon_n$ independent of $x$

Published on 15 Apr 2026 - 13:01

score 23 · Answer 3 · 2026-04-11 16:16:12

23

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Is the derivative of the following uniformly convergent series uniformly convergent?

Published on 11 Apr 2026 - 16:16

score 46 · Answer 4 · 2026-04-16 00:47:28

46

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for which $x$, is $f'(x)=lim_{n \to \infty}f_n'(x)$?

Published on 16 Apr 2026 - 0:47

score 86 · Answer 5 · 2026-04-14 17:35:17

86

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Lemma on uniform convergence in $C^1(\mathbb{R}^n)$

Published on 14 Apr 2026 - 17:35

score 48 · Answer 6 · 2026-04-10 20:06:40

48

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Discuss Series of funtion is Uniformly convergent or not

Published on 10 Apr 2026 - 20:06

score 107 · Answer 7 · 2026-04-12 05:37:46

107

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Finding the limit as x approaches 1 of $\sum \frac {(-1)^{n+1}}{n} x^n$

Published on 12 Apr 2026 - 5:37

score 260 · Answer 8 · 2026-04-16 02:40:38

260

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Prove that $\{f_n\}$ converges pointwise but not uniformly on $\Bbb R$, where $f_n(x)=\frac{1-|x|^n}{1+|x|^n}$ .

Published on 16 Apr 2026 - 2:40

score 43 · Answer 9 · 2026-04-09 23:22:33

43

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Fourier analysis convergence argument help

Published on 09 Apr 2026 - 23:22

score 37 · Answer 10 · 2026-04-16 05:17:45

37

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possible error while proving $\sum_{n=1}^{\infty}(x^{n} - x^{n-1})$ uniformly convergent in $[0,1)$ when its isn't

Published on 16 Apr 2026 - 5:17

score 340 · Answer 11 · 2026-04-15 23:16:58

340

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Study the uniform convergence of the integral $\int_0^\infty\frac{\sin \alpha x}{\alpha^2+x^2}\mathrm{d}x, \alpha\in(0,+\infty)$

Published on 15 Apr 2026 - 23:16

score 115 · Answer 12 · 2026-04-15 01:45:27

115

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The Uniform convergence of $\sum\limits_{n=1}^\infty{\frac{\arctan(nx)}{1+(x-n)^{3}}}$ on $x \in [0, 10]$.

Published on 15 Apr 2026 - 1:45

score 146 · Answer 13 · 2026-04-16 05:20:29

146

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Uniform convergence of a sequence of functions on real line.

Published on 16 Apr 2026 - 5:20

score 2k · Answer 14 · 2026-04-15 17:37:08

2k

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Show that a sequence of functions that converge uniformly are Riemann integrable. What if they only converge point wise?

Published on 15 Apr 2026 - 17:37

score 61 · Answer 15 · 2026-04-11 07:41:13

61

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$M$-Test for Uniform Convergence Proof (Complex Analysis)

Published on 11 Apr 2026 - 7:41

List Question

Question about uniform convergence interval

Show $|f(x + \delta_n) - f(x)| < \epsilon_n$ for $\epsilon_n$ independent of $x$

Is the derivative of the following uniformly convergent series uniformly convergent?

for which $x$, is $f'(x)=lim_{n \to \infty}f_n'(x)$?

Lemma on uniform convergence in $C^1(\mathbb{R}^n)$

Discuss Series of funtion is Uniformly convergent or not

Finding the limit as x approaches 1 of $\sum \frac {(-1)^{n+1}}{n} x^n$

Prove that $\{f_n\}$ converges pointwise but not uniformly on $\Bbb R$, where $f_n(x)=\frac{1-|x|^n}{1+|x|^n}$ .

Fourier analysis convergence argument help

possible error while proving $\sum_{n=1}^{\infty}(x^{n} - x^{n-1})$ uniformly convergent in $[0,1)$ when its isn't

Study the uniform convergence of the integral $\int_0^\infty\frac{\sin \alpha x}{\alpha^2+x^2}\mathrm{d}x, \alpha\in(0,+\infty)$

The Uniform convergence of $\sum\limits_{n=1}^\infty{\frac{\arctan(nx)}{1+(x-n)^{3}}}$ on $x \in [0, 10]$.

Uniform convergence of a sequence of functions on real line.

Show that a sequence of functions that converge uniformly are Riemann integrable. What if they only converge point wise?

$M$-Test for Uniform Convergence Proof (Complex Analysis)

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