Question

Not satisfied with outcome of continuity proof

score 55 · Answer 1 · 2026-03-25 19:03:52

55

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Not satisfied with outcome of continuity proof

Published on 25 Mar 2026 - 19:03

score 1.3k · Answer 2 · 2026-03-24 21:22:35

1.3k

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Existence of partial derivatives & Cauchy-Riemann does not imply differentiability example

Published on 24 Mar 2026 - 21:22

score 1.1k · Answer 3 · 2018-01-31 18:40:42

1.1k

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proof of continuity of coordinate functions (Rudin)

Published on 31 Jan 2018 - 18:40

score 882 · Answer 4 · 2018-01-31 19:02:15

882

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Prove that if $\lim_{n \to \infty} f(x_n) = f(\lim_{n \to \infty} x_n)$ for all sequences that converge to $x$, then $f$ is continuous

Published on 31 Jan 2018 - 19:02

score 49 · Answer 5 · 2026-03-22 17:38:03

49

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Find a continuous function, over the unit interval, satisfying $\int_0^x f(u)du\geq \sum_{n=1}^\infty\frac{\mu(n)}{n^2}x^{n-1}$ for each $ x\in[0,1]$

Published on 22 Mar 2026 - 17:38

score 214 · Answer 6 · 2018-01-31 20:55:16

214

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Problem about continuous functions and the intermediate value theorem

Published on 31 Jan 2018 - 20:55

score 52 · Answer 7 · 2018-01-31 21:35:05

52

Views

Problem about Continuous Functions. Check my resolution, please!

Published on 31 Jan 2018 - 21:35

score 283 · Answer 8 · 2018-02-01 10:20:05

283

Views

Continuous function from $[0, 1]$ to $\mathbb{R}$

Published on 01 Feb 2018 - 10:20

score 239 · Answer 9 · 2018-02-01 18:30:30

239

Views

How can be the Dirichlet function continuous in 0?

Published on 01 Feb 2018 - 18:30

score 125 · Answer 10 · 2026-03-20 11:16:55

125

Views

Prove that $\lim_{n \to \infty} \frac{1}{2^n}\sum_{k=0}^n(-1)^k {n\choose k}f\left(\frac{k}{n} \right)=0$

Published on 20 Mar 2026 - 11:16

score 122 · Answer 11 · 2026-03-27 17:52:10

122

Views

Showing a function is Lipschitz

Published on 27 Mar 2026 - 17:52

score 124 · Answer 12 · 2026-03-26 01:10:41

124

Views

Show that $f(x) = \sqrt{x}$ is continous at any $a > 0$

Published on 26 Mar 2026 - 1:10

score 152 · Answer 13 · 2026-03-20 04:35:01

152

Views

How to check uniform continuity on disconnected set

Published on 20 Mar 2026 - 4:35

score 62 · Answer 14 · 2018-02-02 14:22:47

62

Views

Is the function $f(x)=x\sin(1/x)$ continuous and differentiable at x=0?

Published on 02 Feb 2018 - 14:22

score 374 · Answer 15 · 2026-03-26 01:01:45

374

Views

A continuous function that is negative at some point will be negative around that point

Published on 26 Mar 2026 - 1:01

List Question

Not satisfied with outcome of continuity proof

Existence of partial derivatives & Cauchy-Riemann does not imply differentiability example

proof of continuity of coordinate functions (Rudin)

Prove that if $\lim_{n \to \infty} f(x_n) = f(\lim_{n \to \infty} x_n)$ for all sequences that converge to $x$, then $f$ is continuous

Find a continuous function, over the unit interval, satisfying $\int_0^x f(u)du\geq \sum_{n=1}^\infty\frac{\mu(n)}{n^2}x^{n-1}$ for each $ x\in[0,1]$

Problem about continuous functions and the intermediate value theorem

Problem about Continuous Functions. Check my resolution, please!

Continuous function from $[0, 1]$ to $\mathbb{R}$

How can be the Dirichlet function continuous in 0?

Prove that $\lim_{n \to \infty} \frac{1}{2^n}\sum_{k=0}^n(-1)^k {n\choose k}f\left(\frac{k}{n} \right)=0$

Showing a function is Lipschitz

Show that $f(x) = \sqrt{x}$ is continous at any $a > 0$

How to check uniform continuity on disconnected set

Is the function $f(x)=x\sin(1/x)$ continuous and differentiable at x=0?

A continuous function that is negative at some point will be negative around that point

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