List questions from uniform-convergence

96

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Let $f_n:[1,2]\to[0,1]$ be given by $f_n(x)=(2-x)^n$ for all non-negative integers $n$. Let $f(x)=\lim_{n\to \infty}f_n(x)$ for $1\le x\le 2$.

Published on 08 Jun 2020 - 9:56

110

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Uniform convergence of integral with parameter $\int_0^\infty x^a \cdot e^{-x^{a}}d x$

Published on 08 Jun 2020 - 9:57

317

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Uniform convergence of analytic function on a closed and bounded interval

Published on 27 Mar 2026 - 10:08

557

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Weierstrass' M-test in reverse

Published on 24 Feb 2026 - 19:30

34

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Series with limit

Published on 10 Jun 2020 - 19:42

69

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Continuity of series sumfunction

Published on 12 Jun 2020 - 4:43

564

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Stone Weierstrass Theorem for non compact sets

Published on 06 Apr 2026 - 2:37

253

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Uniform convergence with sine functions

Published on 24 Feb 2026 - 19:32

179

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Convergence of hankel transform for polynomials

Published on 25 Mar 2026 - 12:55

30

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Dini's theorem failing at a single point

Published on 24 Feb 2026 - 10:14

144

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Prove that $\{f_n\} _{n=1}^{\infty}$ uniformly converges to $ f(x)=\int_{0}^{1}g(x,t)\mathrm{dt}$

Published on 13 Jun 2020 - 22:39

115

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Question about proof of interchanging integral and derivative using uniform convergence.

Published on 14 Jun 2020 - 5:21

99

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Uniformly convergent Fourier serie

Published on 05 Apr 2026 - 7:09

34

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Uniform Convergence and Limit Inside Integral When Index Is Not a Natural Number

Published on 15 Jun 2020 - 2:55

58

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Application of Egoroff's thm on infinite measure

Published on 24 Feb 2026 - 10:17

List Question

Let $f_n:[1,2]\to[0,1]$ be given by $f_n(x)=(2-x)^n$ for all non-negative integers $n$. Let $f(x)=\lim_{n\to \infty}f_n(x)$ for $1\le x\le 2$.

Uniform convergence of integral with parameter $\int_0^\infty x^a \cdot e^{-x^{a}}d x$

Uniform convergence of analytic function on a closed and bounded interval

Weierstrass' M-test in reverse

Series with limit

Continuity of series sumfunction

Stone Weierstrass Theorem for non compact sets

Uniform convergence with sine functions

Convergence of hankel transform for polynomials

Dini's theorem failing at a single point

Prove that $\{f_n\} _{n=1}^{\infty}$ uniformly converges to $ f(x)=\int_{0}^{1}g(x,t)\mathrm{dt}$

Question about proof of interchanging integral and derivative using uniform convergence.

Uniformly convergent Fourier serie

Uniform Convergence and Limit Inside Integral When Index Is Not a Natural Number

Application of Egoroff's thm on infinite measure

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