Question

Question about a proof of boundedness of a continuous function on a closed interval.

score 437 · Answer 1 · 2026-04-10 11:05:18

437

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Question about a proof of boundedness of a continuous function on a closed interval.

Published on 10 Apr 2026 - 11:05

score 217 · Answer 2 · 2026-04-19 15:05:29

217

Views

Evaluate $\int_{0}^1\ln(\ln(\frac{1}{x})) dx$

Published on 19 Apr 2026 - 15:05

score 89 · Answer 3 · 2026-04-25 04:48:07

89

Views

Convert $\frac{2x^3+4}{x^2-1}$ into partial fractions.

Published on 25 Apr 2026 - 4:48

score 57 · Answer 4 · 2026-04-13 20:24:09

57

Views

Given an example of a function in real number

Published on 13 Apr 2026 - 20:24

score 47 · Answer 5 · 2026-04-12 12:54:37

47

Views

Characteristic property of the total variation of a vector measure

Published on 12 Apr 2026 - 12:54

score 58 · Answer 6 · 2026-04-20 16:24:26

58

Views

A non obvious example of a sequence $a(k)\cdot H_{b(k)}$ whose general term is integer many times, where $H_n$ denotes the $n$th harmonic number

Published on 20 Apr 2026 - 16:24

score 64 · Answer 7 · 2026-04-20 07:43:45

64

Views

$f:[a, b]\subset \mathbb{R} \longrightarrow \mathbb{R}$ is Lipschitzian function and Riemann-Stieltjes integral

Published on 20 Apr 2026 - 7:43

score 182 · Answer 8 · 2026-04-13 23:19:25

182

Views

Prove that $\lim_{x \to a} x^4 = a^4$ using epsilon-delta definition

Published on 13 Apr 2026 - 23:19

score 693 · Answer 9 · 2026-04-21 07:17:33

693

Views

The asymptotic behaviour of a sequence involving the sine and cosine functions: explain an strategy to get it

Published on 21 Apr 2026 - 7:17

score 581 · Answer 10 · 2026-04-09 03:42:04

581

Views

Is every discontinuous everywhere Darboux function a constant image function?

Published on 09 Apr 2026 - 3:42

score 252 · Answer 11 · 2026-04-21 11:43:49

252

Views

Epsilon-Delta Continuity in Hyperreals

Published on 21 Apr 2026 - 11:43

score 154 · Answer 12 · 2026-04-10 17:43:56

154

Views

Question about a proof of the extreme value theorem.

Published on 10 Apr 2026 - 17:43

score 116 · Answer 13 · 2026-04-20 23:53:40

116

Views

A rigorous proof of $\Re\int_0^{2\pi}\left(\sum_{n=1}^{\infty}\frac{\mu(n)}{n}\log\left(\frac{1}{1-ne^{i\theta}}\right)\right)d\theta=2\pi$

Published on 20 Apr 2026 - 23:53

score 101 · Answer 14 · 2026-04-16 04:33:03

101

Views

Prove Differentiability of $(\ln(1+|x|))^2$

Published on 16 Apr 2026 - 4:33

score 193 · Answer 15 · 2026-04-12 17:27:47

193

Views

A naive conjecture about Taylor series convergence

Published on 12 Apr 2026 - 17:27

List Question

Question about a proof of boundedness of a continuous function on a closed interval.

Evaluate $\int_{0}^1\ln(\ln(\frac{1}{x})) dx$

Convert $\frac{2x^3+4}{x^2-1}$ into partial fractions.

Given an example of a function in real number

Characteristic property of the total variation of a vector measure

A non obvious example of a sequence $a(k)\cdot H_{b(k)}$ whose general term is integer many times, where $H_n$ denotes the $n$th harmonic number

$f:[a, b]\subset \mathbb{R} \longrightarrow \mathbb{R}$ is Lipschitzian function and Riemann-Stieltjes integral

Prove that $\lim_{x \to a} x^4 = a^4$ using epsilon-delta definition

The asymptotic behaviour of a sequence involving the sine and cosine functions: explain an strategy to get it

Is every discontinuous everywhere Darboux function a constant image function?

Epsilon-Delta Continuity in Hyperreals

Question about a proof of the extreme value theorem.

A rigorous proof of $\Re\int_0^{2\pi}\left(\sum_{n=1}^{\infty}\frac{\mu(n)}{n}\log\left(\frac{1}{1-ne^{i\theta}}\right)\right)d\theta=2\pi$

Prove Differentiability of $(\ln(1+|x|))^2$

A naive conjecture about Taylor series convergence

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