Question

The extension of this derivative notation $f^{(0)} = f, f^{(1)} = f', ...$

score 55 · Answer 1 · 2026-04-15 22:03:28

55

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The extension of this derivative notation $f^{(0)} = f, f^{(1)} = f', ...$

Published on 15 Apr 2026 - 22:03

score 264 · Answer 2 · 2026-04-11 22:23:11

264

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About the proof: $\mathbb Q$ is not locally compact

Published on 11 Apr 2026 - 22:23

score 108 · Answer 3 · 2026-05-10 12:55:11

108

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Show that $a_n = f(0) + f(1) + ... + f(n-1) - \int^n_0 f(x) dx$ is a Cauchy sequence

Published on 10 May 2026 - 12:55

score 53 · Answer 4 · 2026-04-14 01:03:57

53

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discontinuity of $\sin \frac {1}{x}$

Published on 14 Apr 2026 - 1:03

score 57 · Answer 5 · 2026-04-17 02:04:23

57

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Let $1\lt k \in\mathbb{N}. $ Prove: $\frac{1}{2}+\frac{1}{3}+...+\frac{1}{k}\lt ln(k) \lt 1+ \frac{1}{2}+...+\frac{1}{k-1}$ using integration.

Published on 17 Apr 2026 - 2:04

score 63 · Answer 6 · 2026-05-10 17:17:42

63

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limit as $\delta \rightarrow 0 \int_{a + \delta}^{b} f(x)dx = \int_{a}^{b}f(x)dx$?

Published on 10 May 2026 - 17:17

score 205 · Answer 7 · 2026-05-10 20:40:26

205

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Find limit of $\lim\limits_{x \to\infty}{\left({{(x!)^2}\over{(2x)!}}\right)}$

Published on 10 May 2026 - 20:40

score 300 · Answer 8 · 2026-04-08 19:28:33

300

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Property of continuous functions

Published on 08 Apr 2026 - 19:28

score 88 · Answer 9 · 2026-04-15 02:27:50

88

Views

Problem with Rudin's proof that $\operatorname{diam}\mkern2mu\overline{\mkern-2muE}=\operatorname{diam}\text{ }E$

Published on 15 Apr 2026 - 2:27

score 120 · Answer 10 · 2026-04-17 14:03:20

120

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Signed sums of infinite series

Published on 17 Apr 2026 - 14:03

score 56 · Answer 11 · 2026-05-10 15:43:23

56

Views

How to show the function achieves maximum at $a = 0$

Published on 10 May 2026 - 15:43

score 1.1k · Answer 12 · 2026-04-16 03:14:47

1.1k

Views

Show that $Y$ is compact iff every collection of open sets in $X$ that covers $Y$ has a finite subcover.

Published on 16 Apr 2026 - 3:14

score 194 · Answer 13 · 2026-04-14 12:14:12

Prove the existence of an uncountable set of points whose pairwise distances are $>\epsilon$ means a metric space is not separable

score 555 · Answer 14 · 2026-04-11 11:37:56

555

Views

Dedekind cut of $r^3$

Published on 11 Apr 2026 - 11:37

score 124 · Answer 15 · 2026-04-13 03:24:49

124

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Calculating Radon-Nikodym Derivatives

Published on 13 Apr 2026 - 3:24

List Question

The extension of this derivative notation $f^{(0)} = f, f^{(1)} = f', ...$

About the proof: $\mathbb Q$ is not locally compact

Show that $a_n = f(0) + f(1) + ... + f(n-1) - \int^n_0 f(x) dx$ is a Cauchy sequence

discontinuity of $\sin \frac {1}{x}$

Let $1\lt k \in\mathbb{N}. $ Prove: $\frac{1}{2}+\frac{1}{3}+...+\frac{1}{k}\lt ln(k) \lt 1+ \frac{1}{2}+...+\frac{1}{k-1}$ using integration.

limit as $\delta \rightarrow 0 \int_{a + \delta}^{b} f(x)dx = \int_{a}^{b}f(x)dx$?

Find limit of $\lim\limits_{x \to\infty}{\left({{(x!)^2}\over{(2x)!}}\right)}$

Property of continuous functions

Problem with Rudin's proof that $\operatorname{diam}\mkern2mu\overline{\mkern-2muE}=\operatorname{diam}\text{ }E$

Signed sums of infinite series

How to show the function achieves maximum at $a = 0$

Show that $Y$ is compact iff every collection of open sets in $X$ that covers $Y$ has a finite subcover.

Prove the existence of an uncountable set of points whose pairwise distances are $>\epsilon$ means a metric space is not separable

Dedekind cut of $r^3$

Calculating Radon-Nikodym Derivatives

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