Question

Did I make a mistake when finding the intervals this function is continuous on?

score 52 · Answer 1 · 2026-03-25 03:18:00

52

Views

Did I make a mistake when finding the intervals this function is continuous on?

Published on 25 Mar 2026 - 3:18

score 269 · Answer 2 · 2026-03-26 04:30:58

269

Views

Confusion regarding Cauchy's General Principle and Uniform Convergence

Published on 26 Mar 2026 - 4:30

score 51 · Answer 3 · 2026-03-29 18:32:50

51

Views

Show that $\phi(r) = ||f||_{L^r(0,1)}$, $r\in [1,2]$ is continuous function of r.

Published on 29 Mar 2026 - 18:32

score 248 · Answer 4 · 2026-03-27 06:15:20

248

Views

Uniform continuity and compactness

Published on 27 Mar 2026 - 6:15

score 141 · Answer 5 · 2026-03-25 22:03:01

141

Views

$\omega^\omega$ correspondence with $\mathbb R$-irrationality

Published on 25 Mar 2026 - 22:03

score 71 · Answer 6 · 2019-01-03 19:07:38

Find function $f:[0,1]\to \mathbb R$, whose set of discontinuities is such that $\left\{ \frac{k}{2^n}; \quad k,n \in \mathbb N, k \le 2^n \right\}$

score 325 · Answer 7 · 2019-01-03 23:43:38

325

Views

For a function defined by parts study continuity, and differentiability at two points

Published on 03 Jan 2019 - 23:43

score 166 · Answer 8 · 2019-01-04 07:34:30

166

Views

Showing that $f^{-1}$ is not continuous.

Published on 04 Jan 2019 - 7:34

score 44 · Answer 9 · 2019-01-04 10:58:52

44

Views

Why is $\frac{x^n}{x^3+x^4}\chi_{[0,1[} \in \mathcal{L}^1$

Published on 04 Jan 2019 - 10:58

score 730 · Answer 10 · 2019-01-04 22:03:56

730

Views

Proof that $F$ is continuous in fundamental theorem of calculus

Published on 04 Jan 2019 - 22:03

score 43 · Answer 11 · 2026-04-05 22:34:07

43

Views

Does Density Property assure the continuity of a Non-Contractive Function?

Published on 05 Apr 2026 - 22:34

score 39 · Answer 12 · 2019-01-05 13:42:49

39

Views

Continuous function on a metric space/topology

Published on 05 Jan 2019 - 13:42

score 95 · Answer 13 · 2019-01-05 22:40:13

95

Views

Is this way of finding $\lim\limits_{x\to +\infty}(x-\ln(x^2+1))$ valid?

Published on 05 Jan 2019 - 22:40

score 192 · Answer 14 · 2026-03-30 12:02:40

192

Views

If $f$ is continuous $\displaystyle\lim_{x \to \infty}f(x)=\infty$ iff $f^{-1}(K)$ is compact for every compact $K \subset \mathbb{R}^{n}$.

Published on 30 Mar 2026 - 12:02

score 536 · Answer 15 · 2026-03-28 02:48:42

536

Views

Does there exist a continous surjective map between $\mathbb R^2\to S^1$

Published on 28 Mar 2026 - 2:48

List Question

Did I make a mistake when finding the intervals this function is continuous on?

Confusion regarding Cauchy's General Principle and Uniform Convergence

Show that $\phi(r) = ||f||_{L^r(0,1)}$, $r\in [1,2]$ is continuous function of r.

Uniform continuity and compactness

$\omega^\omega$ correspondence with $\mathbb R$-irrationality

Find function $f:[0,1]\to \mathbb R$, whose set of discontinuities is such that $\left\{ \frac{k}{2^n}; \quad k,n \in \mathbb N, k \le 2^n \right\}$

For a function defined by parts study continuity, and differentiability at two points

Showing that $f^{-1}$ is not continuous.

Why is $\frac{x^n}{x^3+x^4}\chi_{[0,1[} \in \mathcal{L}^1$

Proof that $F$ is continuous in fundamental theorem of calculus

Does Density Property assure the continuity of a Non-Contractive Function?

Continuous function on a metric space/topology

Is this way of finding $\lim\limits_{x\to +\infty}(x-\ln(x^2+1))$ valid?

If $f$ is continuous $\displaystyle\lim_{x \to \infty}f(x)=\infty$ iff $f^{-1}(K)$ is compact for every compact $K \subset \mathbb{R}^{n}$.

Does there exist a continous surjective map between $\mathbb R^2\to S^1$

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