List questions from continuity

Published on 14 Apr 2026 - 23:29

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1-Lipschitz function and no fixed point

Published on 10 May 2026 - 14:46

300

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Property of continuous functions

Published on 08 Apr 2026 - 19:28

249

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How can I prove that $f(x)=\sum_{k=1}^{\infty}\frac{\{kx\}}{k^{2}}$ is continuous?

Published on 11 Apr 2026 - 9:52

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What about an approximation of the Hölder's constant associated to $\sum_{n=0}^\infty\gamma^n\cos(11^n\pi x)$, where $\gamma$ is the Euler's constant?

Published on 11 May 2026 - 6:35

78

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Is $\frac{1}{x}$ continuosly differentiable on the set $E = (- \infty, 0) \cup (0, \infty)$?

Published on 10 May 2026 - 14:56

53

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how to prove that$ g_{n}$ converges to$ g$ uniformly on $[0, 1].$

Published on 14 May 2026 - 7:46

77

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Proving continuity in the complex plane using sequences

Published on 13 Apr 2026 - 10:40

378

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proving a function is strictly increasing, when its continuous on $[a,b]$ but not differentiable everywhere on $[a,b]$

Published on 11 Apr 2026 - 21:31

178

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Homeomorphism between two sets

Published on 12 Apr 2026 - 0:13

38

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"Constant" points of an increasing function

Published on 11 Apr 2026 - 19:46

375

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The Lipschitz constant of the combination of distance functions used to separate two sets

Published on 10 May 2026 - 17:01

48

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When statement is false?

Published on 09 Apr 2026 - 10:14

34

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R-continuity of step function

Published on 09 Apr 2026 - 8:59

50

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Use boundedness & continuity to show the sequence is uniformly convergent

Published on 14 May 2026 - 7:42

List Question

Continuity in Box topology

1-Lipschitz function and no fixed point

Property of continuous functions

How can I prove that $f(x)=\sum_{k=1}^{\infty}\frac{\{kx\}}{k^{2}}$ is continuous?

What about an approximation of the Hölder's constant associated to $\sum_{n=0}^\infty\gamma^n\cos(11^n\pi x)$, where $\gamma$ is the Euler's constant?

Is $\frac{1}{x}$ continuosly differentiable on the set $E = (- \infty, 0) \cup (0, \infty)$?

how to prove that$ g_{n}$ converges to$ g$ uniformly on $[0, 1].$

Proving continuity in the complex plane using sequences

proving a function is strictly increasing, when its continuous on $[a,b]$ but not differentiable everywhere on $[a,b]$

Homeomorphism between two sets

"Constant" points of an increasing function

The Lipschitz constant of the combination of distance functions used to separate two sets

When statement is false?

R-continuity of step function

Use boundedness & continuity to show the sequence is uniformly convergent

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