Question

Is the Composition of Lipschitz Continuous Functions Lipschitz Continuous in the Limit to $\infty$

score 8.4k · Answer 1 · 2026-05-10 14:48:44

8.4k

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Is the Composition of Lipschitz Continuous Functions Lipschitz Continuous in the Limit to $\infty$

Published on 10 May 2026 - 14:48

score 631 · Answer 2 · 2026-04-13 06:28:48

631

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Proving a function is discontinuous by constructing a sequence

Published on 13 Apr 2026 - 6:28

score 44 · Answer 3 · 2026-05-10 13:48:58

44

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Functional Analysis - Set of Applications is Open and Closed

Published on 10 May 2026 - 13:48

score 1k · Answer 4 · 2026-04-10 21:09:50

1k

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Confusion in Oscillatory Discontinuity - A Peculiar Example

Published on 10 Apr 2026 - 21:09

score 55 · Answer 5 · 2026-04-17 03:40:19

55

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Product Topology/Continuity Confusion

Published on 17 Apr 2026 - 3:40

score 83 · Answer 6 · 2026-05-10 21:26:53

83

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How to decide the neighbourhood when proving a function is locally Lipschitz-continuous.

Published on 10 May 2026 - 21:26

score 608 · Answer 7 · 2026-05-11 04:32:26

608

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Proving discontinuity using $\epsilon$-$\delta$ form

Published on 11 May 2026 - 4:32

score 33 · Answer 8 · 2026-05-14 10:15:59

33

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Searching for tricks or quick techniques to identify if $f_n$ (or $f'_n$) is continuous but $f$ (or $f'$) is not continuous.

Published on 14 May 2026 - 10:15

score 440 · Answer 9 · 2026-05-10 15:08:39

440

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Exercise 4.13 from Rudin, what's wrong with this proof.

Published on 10 May 2026 - 15:08

score 306 · Answer 10 · 2026-05-10 15:08:02

306

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How to determine if a continuous function is uniformly continuous

Published on 10 May 2026 - 15:08

score 106 · Answer 11 · 2026-04-16 19:51:18

Continuity of the function $f(x)=\begin{cases} 3,\text{ if }0\leq x\leq1\\ 4,\text{ if }1< x<3\\ 5,\text{ if }3\leq x\leq10\\ \end{cases}$

score 398 · Answer 12 · 2026-04-08 23:51:15

398

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Doubt in proof of Convex Function Continuous

Published on 08 Apr 2026 - 23:51

score 202 · Answer 13 · 2026-04-14 07:29:01

202

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Discontinuity of $\sin(\frac{1}{x})$

Published on 14 Apr 2026 - 7:29

score 83 · Answer 14 · 2026-04-15 10:31:40

83

Views

Proving some statements, given that $|f(x)-f(y)| \leq M|x-y|^{\alpha}$

Published on 15 Apr 2026 - 10:31

score 112 · Answer 15 · 2026-04-16 14:46:24

112

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Proving this log function is continuous

Published on 16 Apr 2026 - 14:46

List Question

Is the Composition of Lipschitz Continuous Functions Lipschitz Continuous in the Limit to $\infty$

Proving a function is discontinuous by constructing a sequence

Functional Analysis - Set of Applications is Open and Closed

Confusion in Oscillatory Discontinuity - A Peculiar Example

Product Topology/Continuity Confusion

How to decide the neighbourhood when proving a function is locally Lipschitz-continuous.

Proving discontinuity using $\epsilon$-$\delta$ form

Searching for tricks or quick techniques to identify if $f_n$ (or $f'_n$) is continuous but $f$ (or $f'$) is not continuous.

Exercise 4.13 from Rudin, what's wrong with this proof.

How to determine if a continuous function is uniformly continuous

Continuity of the function $f(x)=\begin{cases} 3,\text{ if }0\leq x\leq1\\ 4,\text{ if }1< x<3\\ 5,\text{ if }3\leq x\leq10\\ \end{cases}$

Doubt in proof of Convex Function Continuous

Discontinuity of $\sin(\frac{1}{x})$

Proving some statements, given that $|f(x)-f(y)| \leq M|x-y|^{\alpha}$

Proving this log function is continuous

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