List questions from uniform-continuity

Published on 15 Apr 2016 - 9:17

124

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Uniform continuity with integral being finite

Published on 15 Apr 2016 - 19:42

209

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Determine continuity and differentiability of the real function $f(x)=\sum\limits_{n\geq1}\frac{1}{n^x}$

Published on 20 Apr 2016 - 18:01

59

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continuity of a piece wise function defined partially on a closed interval

Published on 26 Apr 2016 - 6:46

19

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Suppose $f$ is differentiable and not uniformly continuous show that $|f'|$ is not bounded by $R$

Published on 29 Apr 2016 - 13:10

1.1k

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What do uniformly continuous functions look like?

Published on 30 Apr 2016 - 14:06

2.2k

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Let $f_n(x)=x-x^n$ for $x \in [0,1]$ Does the sequence ${f_n}$ converge pointwise on the set $[0, 1]$?

Published on 02 May 2016 - 2:52

191

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Prove a cauchy sequence in $(X,\rho)$ maps to a cauchy sequence in $(Y,\sigma)$

Published on 05 May 2016 - 21:47

320

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Prove $f(x)$ is not uniformly continuous on $(0,1)$.

Published on 08 May 2016 - 15:42

654

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Uniform convergence of integral and derivatives of $f_n(x)=\frac{\sin nx}{n}$

Published on 08 May 2016 - 20:32

100

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Uniformly continuous derivative

Published on 11 May 2016 - 1:40

2.9k

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prove that a non constant periodic, continuous function has a "smallest period"

Published on 11 May 2016 - 11:16

1.7k

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Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.

Published on 14 May 2016 - 3:03

100

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Linear programming is continuous

Published on 14 May 2016 - 19:31

60

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Open and closed sets in a $\infty$-metric space

Published on 16 May 2016 - 2:26

List Question

Polynomials and Lipschitz function

Uniform continuity with integral being finite

Determine continuity and differentiability of the real function $f(x)=\sum\limits_{n\geq1}\frac{1}{n^x}$

continuity of a piece wise function defined partially on a closed interval

Suppose $f$ is differentiable and not uniformly continuous show that $|f'|$ is not bounded by $R$

What do uniformly continuous functions look like?

Let $f_n(x)=x-x^n$ for $x \in [0,1]$ Does the sequence ${f_n}$ converge pointwise on the set $[0, 1]$?

Prove a cauchy sequence in $(X,\rho)$ maps to a cauchy sequence in $(Y,\sigma)$

Prove $f(x)$ is not uniformly continuous on $(0,1)$.

Uniform convergence of integral and derivatives of $f_n(x)=\frac{\sin nx}{n}$

Uniformly continuous derivative

prove that a non constant periodic, continuous function has a "smallest period"

Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.

Linear programming is continuous

Open and closed sets in a $\infty$-metric space

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