Question

Uniform convergence of piecewise defined function

score 102 · Answer 1 · 2026-04-13 05:10:08

102

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Uniform convergence of piecewise defined function

Published on 13 Apr 2026 - 5:10

score 163 · Answer 2 · 2026-04-10 16:55:04

163

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Pointwise Convergence In Integral

Published on 10 Apr 2026 - 16:55

score 424 · Answer 3 · 2026-04-13 11:37:02

424

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If $(f_n):[0, 1] \to [0, 1]$ are continuous and converge to $f$ pointwise, must $f$ be Riemann Integrable?

Published on 13 Apr 2026 - 11:37

score 746 · Answer 4 · 2026-04-12 22:25:12

746

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$(f_n)$ sequence of differentiable functions on $[0,1]$ and converge pointwise to $0$.

Published on 12 Apr 2026 - 22:25

score 45 · Answer 5 · 2026-02-25 16:51:28

45

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Pointwise convergence of $\sum_{n=1}^{\infty} \chi_{\left[n, n+1 / n^{2}\right]}(x)$. Help in understanding solution from the book.

Published on 25 Feb 2026 - 16:51

score 181 · Answer 6 · 2026-04-12 15:12:16

181

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$C^\infty$ $f_n$ converge pointwise $\implies$ f is $C^\infty$

Published on 12 Apr 2026 - 15:12

score 47 · Answer 7 · 2026-04-13 08:23:49

47

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Question on pointwise convergence of Sequence of functions

Published on 13 Apr 2026 - 8:23

score 1.2k · Answer 8 · 2026-02-25 16:50:37

1.2k

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Pointwise and uniform convergence of $f_n(x)=xe^{-nx}$

Published on 25 Feb 2026 - 16:50

score 80 · Answer 9 · 2026-02-25 16:51:40

80

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Check the pointwise and the uniform convergence of $(f_n)_n:D\rightarrow \mathbb{R}$

Published on 25 Feb 2026 - 16:51

score 102 · Answer 10 · 2026-04-12 19:10:58

102

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Pointwise and uniform convergence of sum

Published on 12 Apr 2026 - 19:10

score 291 · Answer 11 · 2026-04-13 18:21:53

291

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Can a sequence of probability denisity functions (pdf's) converge to a function which isn't a pdf?

Published on 13 Apr 2026 - 18:21

score 77 · Answer 12 · 2026-02-25 16:51:54

77

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Convergence of sequence of functions $ f_n(x)=\begin{cases} n^{p+1}x & \text{if $0≤x≤1/n$}\\ \frac{1}{x^p} & \text{if $1/n<x≤1$} \end{cases} $

Published on 25 Feb 2026 - 16:51

score 698 · Answer 13 · 2026-02-25 16:50:33

698

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Uniformly Convergent Subsequence of a Pointwise Convergent Sequence of Functions

Published on 25 Feb 2026 - 16:50

score 166 · Answer 14 · 2026-02-25 16:51:51

166

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Will $y=x$ and $y=\sin^n \left(\frac{\pi x}{2} \right)$ meet in the interval $(0,1)$ for all $n \ge 2$?

Published on 25 Feb 2026 - 16:51

score 290 · Answer 15 · 2026-02-25 16:47:33

290

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can someone explain the difference in uniform convergence and pointwise convergence

Published on 25 Feb 2026 - 16:47

List Question

Uniform convergence of piecewise defined function

Pointwise Convergence In Integral

If $(f_n):[0, 1] \to [0, 1]$ are continuous and converge to $f$ pointwise, must $f$ be Riemann Integrable?

$(f_n)$ sequence of differentiable functions on $[0,1]$ and converge pointwise to $0$.

Pointwise convergence of $\sum_{n=1}^{\infty} \chi_{\left[n, n+1 / n^{2}\right]}(x)$. Help in understanding solution from the book.

$C^\infty$ $f_n$ converge pointwise $\implies$ f is $C^\infty$

Question on pointwise convergence of Sequence of functions

Pointwise and uniform convergence of $f_n(x)=xe^{-nx}$

Check the pointwise and the uniform convergence of $(f_n)_n:D\rightarrow \mathbb{R}$

Pointwise and uniform convergence of sum

Can a sequence of probability denisity functions (pdf's) converge to a function which isn't a pdf?

Convergence of sequence of functions $ f_n(x)=\begin{cases} n^{p+1}x & \text{if $0≤x≤1/n$}\\ \frac{1}{x^p} & \text{if $1/n<x≤1$} \end{cases} $

Uniformly Convergent Subsequence of a Pointwise Convergent Sequence of Functions

Will $y=x$ and $y=\sin^n \left(\frac{\pi x}{2} \right)$ meet in the interval $(0,1)$ for all $n \ge 2$?

can someone explain the difference in uniform convergence and pointwise convergence

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