List questions from pointwise-convergence

Published on 04 Jun 2018 - 9:48

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How to show pointwise and uniform convergence of specific series

Published on 04 Jun 2018 - 11:36

72

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$f \in L^1(\mathbb{R})$ and $\lim_{|x| \to +\infty} f(x) = 0$ implies $\lim_{|x| \to +\infty} \int_{\mathbb{R}} f(x-y) d\mu(y) = 0$

Published on 04 Jun 2018 - 17:49

27

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Limit of the series of functions $f_n$

Published on 23 Feb 2026 - 2:59

143

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Pointwise and uniform converges of a series

Published on 05 Jun 2018 - 9:55

72

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Pointwise and Uniform Convergence on a specific intervall

Published on 23 Feb 2026 - 2:54

39

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Pointwise Convergence of a Piecewise Function with seemingly odd domain

Published on 09 Jun 2018 - 13:09

69

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Convergence of integral doesn't imply the uniform convergence.

Published on 10 Jun 2018 - 5:28

55

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$\frac{x^n}{x^n+1}\to f$ not uniformely, but $\lim_{n\to\infty}\int_0^2\frac{x^n}{x^n+1}dx=\int_0^2f(x)dx$

Published on 12 Jun 2018 - 22:24

42

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$f_n$ converges pointwise to $g$

Published on 15 Jun 2018 - 11:18

3.7k

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Determining convergence of series of exponential functions

Published on 16 Jun 2018 - 0:29

310

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Proof that a sequence converges pointwisely, but not uniformly

Published on 23 Feb 2026 - 2:54

77

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Uniform convergence for series of functions

Published on 19 Jun 2018 - 10:29

140

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Any Sequence of a Measurable Sets Has a Convergent Subsequence?

Published on 26 Jun 2018 - 10:07

66

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Why $\frac{\varepsilon}{x^2+\varepsilon^2}$ converges in the sense of distributions to a constant times the Dirac delta

Published on 12 Jul 2018 - 14:46

List Question

Convergence of $\sum_{n=1}^{\infty} \frac{1}{n} \sin\bigl( \frac{x^2}{n} \bigr)$.

How to show pointwise and uniform convergence of specific series

$f \in L^1(\mathbb{R})$ and $\lim_{|x| \to +\infty} f(x) = 0$ implies $\lim_{|x| \to +\infty} \int_{\mathbb{R}} f(x-y) d\mu(y) = 0$

Limit of the series of functions $f_n$

Pointwise and uniform converges of a series

Pointwise and Uniform Convergence on a specific intervall

Pointwise Convergence of a Piecewise Function with seemingly odd domain

Convergence of integral doesn't imply the uniform convergence.

$\frac{x^n}{x^n+1}\to f$ not uniformely, but $\lim_{n\to\infty}\int_0^2\frac{x^n}{x^n+1}dx=\int_0^2f(x)dx$

$f_n$ converges pointwise to $g$

Determining convergence of series of exponential functions

Proof that a sequence converges pointwisely, but not uniformly

Uniform convergence for series of functions

Any Sequence of a Measurable Sets Has a Convergent Subsequence?

Why $\frac{\varepsilon}{x^2+\varepsilon^2}$ converges in the sense of distributions to a constant times the Dirac delta

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