List questions from uniform-continuity

Published on 18 Dec 2019 - 21:43

25

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Prove that complex function is uniformly continous

Published on 19 Dec 2019 - 20:52

41

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Uniform Continuity of a function with the simplest way

Published on 20 Dec 2019 - 15:00

113

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Proving $\phi : \mathbb{R}\rightarrow \mathbb{R}$ with a property is uniformly continuous.

Published on 23 Dec 2019 - 12:09

446

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$\sin(2\pi x[x])$ is continuous on $\mathbb R$

Published on 27 Dec 2019 - 16:08

56

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If a multivariable continuous real function has $\lim_{\Vert x\Vert\to\infty} f(x) = L$, it is then uniformly continuous?

Published on 27 Dec 2019 - 18:54

447

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Proof verification: Does $\alpha$-Hölder condition on an open interval imply its uniform continuity and $f$ is constant when $\alpha>1$?

Published on 26 Mar 2026 - 22:15

103

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Is $\frac{\ln (x+1)}{x}$ uniformly continuous at $(0,\infty)?$

Published on 07 Jan 2020 - 15:07

105

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Prove that this function is not uniformly continuous

Published on 08 Jan 2020 - 20:34

71

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Prove g is not uniformly continuous

Published on 09 Jan 2020 - 9:04

163

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Let $f(x)=x^{3} +5x +3$ Prove that $f(x)$ is uniformly continuous on any closed interval.

Published on 09 Jan 2020 - 12:31

59

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Uniform continuity of $\phi(x)=\phi(x+1)$

Published on 11 Jan 2020 - 15:55

31

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Second definition of bounded function.

Published on 12 Jan 2020 - 17:21

1k

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$1/x^2$ is not uniformly continuous on $(0,1)$

Published on 13 Jan 2020 - 2:33

137

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Convergence of Bernstein polynomials

Published on 15 Jan 2020 - 2:58

List Question

Show the following for a uniformly continuous $f:\mathbb{C} \mapsto \mathbb{C}$

Prove that complex function is uniformly continous

Uniform Continuity of a function with the simplest way

Proving $\phi : \mathbb{R}\rightarrow \mathbb{R}$ with a property is uniformly continuous.

$\sin(2\pi x[x])$ is continuous on $\mathbb R$

If a multivariable continuous real function has $\lim_{\Vert x\Vert\to\infty} f(x) = L$, it is then uniformly continuous?

Proof verification: Does $\alpha$-Hölder condition on an open interval imply its uniform continuity and $f$ is constant when $\alpha>1$?

Is $\frac{\ln (x+1)}{x}$ uniformly continuous at $(0,\infty)?$

Prove that this function is not uniformly continuous

Prove g is not uniformly continuous

Let $f(x)=x^{3} +5x +3$ Prove that $f(x)$ is uniformly continuous on any closed interval.

Uniform continuity of $\phi(x)=\phi(x+1)$

Second definition of bounded function.

$1/x^2$ is not uniformly continuous on $(0,1)$

Convergence of Bernstein polynomials

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