Question

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

score 251 · Answer 1 · 2026-03-25 09:53:30

251

Views

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Published on 25 Mar 2026 - 9:53

score 54 · Answer 2 · 2018-08-01 03:00:01

54

Views

Show the existence of a function $g$continuous such that. $g(x+1) - g(x)= f(x).$

Published on 01 Aug 2018 - 3:00

score 70 · Answer 3 · 2018-08-01 08:20:11

70

Views

Analyze the continuity of a real-valued function of two variables.

Published on 01 Aug 2018 - 8:20

score 2.7k · Answer 4 · 2018-08-01 22:52:46

2.7k

Views

Set of Discontinuities of arbitrary function is F sigma set

Published on 01 Aug 2018 - 22:52

score 375 · Answer 5 · 2018-08-02 10:46:12

375

Views

3 Exercises on uniform convergence of complex sequences and relation to Weierstrass M-Test

Published on 02 Aug 2018 - 10:46

score 60 · Answer 6 · 2018-08-02 18:50:19

60

Views

Question based on a continuous function

Published on 02 Aug 2018 - 18:50

score 36 · Answer 7 · 2026-03-25 17:21:46

36

Views

For $\alpha(x) = (x,f(x))$, can $\alpha^{-1}$ never be continuos because the graph of $\alpha$ is of measure zero?

Published on 25 Mar 2026 - 17:21

score 591 · Answer 8 · 2026-03-26 07:49:31

591

Views

Surjectivity of the integral operator

Published on 26 Mar 2026 - 7:49

score 2.2k · Answer 9 · 2018-08-03 14:08:06

2.2k

Views

How's g(x) = sin(x)/x removal discontinuity?

Published on 03 Aug 2018 - 14:08

score 214 · Answer 10 · 2018-08-03 16:23:12

214

Views

Condition for continuous derivative

Published on 03 Aug 2018 - 16:23

score 1.1k · Answer 11 · 2018-08-03 17:51:18

1.1k

Views

Show that $f$ is continuous on $\mathbb{R}^2$

Published on 03 Aug 2018 - 17:51

score 94 · Answer 12 · 2018-08-03 19:04:16

94

Views

Continuity of an exponential series

Published on 03 Aug 2018 - 19:04

score 194 · Answer 13 · 2018-08-03 20:02:49

194

Views

Homeomorphism preserves regular openness

Published on 03 Aug 2018 - 20:02

score 501 · Answer 14 · 2018-08-03 21:24:00

501

Views

Proving the continuity of an $n$-homogeneous function at the origin

Published on 03 Aug 2018 - 21:24

score 270 · Answer 15 · 2026-04-01 00:24:20

270

Views

Proof that the multiplicaiton $\mathbb{R}\times \mathbb{R} \to \mathbb{R}$ is continuous

Published on 01 Apr 2026 - 0:24

List Question

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Show the existence of a function $g$continuous such that. $g(x+1) - g(x)= f(x).$

Analyze the continuity of a real-valued function of two variables.

Set of Discontinuities of arbitrary function is F sigma set

3 Exercises on uniform convergence of complex sequences and relation to Weierstrass M-Test

Question based on a continuous function

For $\alpha(x) = (x,f(x))$, can $\alpha^{-1}$ never be continuos because the graph of $\alpha$ is of measure zero?

Surjectivity of the integral operator

How's g(x) = sin(x)/x removal discontinuity?

Condition for continuous derivative

Show that $f$ is continuous on $\mathbb{R}^2$

Continuity of an exponential series

Homeomorphism preserves regular openness

Proving the continuity of an $n$-homogeneous function at the origin

Proof that the multiplicaiton $\mathbb{R}\times \mathbb{R} \to \mathbb{R}$ is continuous

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