Question

Is the proof correct and rigorous enough? B. Demidovich, Problems in Mathematical Analysis, §1, ex. 10

score 167 · Answer 1 · 2026-04-11 10:52:29

167

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Is the proof correct and rigorous enough? B. Demidovich, Problems in Mathematical Analysis, §1, ex. 10

Published on 11 Apr 2026 - 10:52

score 379 · Answer 2 · 2026-04-10 21:38:43

379

Views

Exercise about pointwise and uniform convergence

Published on 10 Apr 2026 - 21:38

score 69 · Answer 3 · 2026-04-16 08:38:01

69

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Calculate $\lim_{x\rightarrow\infty}\frac{x^3}{3^x}$. What is wrong with my calculations?

Published on 16 Apr 2026 - 8:38

score 3.6k · Answer 4 · 2026-04-09 16:59:37

3.6k

Views

Using the binomial expansion to approximate a square root.

Published on 09 Apr 2026 - 16:59

score 50 · Answer 5 · 2026-04-15 19:49:03

50

Views

Prove $\bigcap_{n\in \mathbb{N}} (0, \frac{1}n)= \emptyset $

Published on 15 Apr 2026 - 19:49

score 1k · Answer 6 · 2026-04-12 18:16:27

1k

Views

Show that every regular Lindelof space is normal

Published on 12 Apr 2026 - 18:16

score 152 · Answer 7 · 2026-04-17 14:10:18

152

Views

If $t_n=\frac{1}{2n+1}-\frac{1}{2n+2}+\frac{1}{2n+3}-\frac{1}{2n+4}+\cdots +\frac{1}{4n-1}-\frac{1}{4n}$. Find $\lim_{n \to \infty} nt_n$

Published on 17 Apr 2026 - 14:10

score 644 · Answer 8 · 2026-04-11 05:37:04

644

Views

sum of the first $n^2$ natural numbers closed form

Published on 11 Apr 2026 - 5:37

score 172 · Answer 9 · 2026-04-17 14:36:33

172

Views

Prove that for all trees G = (V, Ε) and all vertices $c\in V$, if υ has at least two neighbours, then ν is a cut vertex of G using induction.

Published on 17 Apr 2026 - 14:36

score 384 · Answer 10 · 2026-04-30 02:59:43

384

Views

On the locally Euclidean topological spaces of dimension n

Published on 30 Apr 2026 - 2:59

score 1.2k · Answer 11 · 2026-04-17 13:46:42

1.2k

Views

Prove there exists $c \in (a,b)$ such that $f(c)-f(a)=(c-a)f'(c).$

Published on 17 Apr 2026 - 13:46

score 35 · Answer 12 · 2026-05-10 18:43:59

35

Views

Finding generators of a group from its action on a topological space

Published on 10 May 2026 - 18:43

score 80 · Answer 13 · 2026-05-11 05:26:50

80

Views

Generalization and Proof of Littlewood's Conjecture

Published on 11 May 2026 - 5:26

score 283 · Answer 14 · 2026-04-14 11:03:05

283

Views

Is this theorem concerning the change of bases and my proof thereof correct?

Published on 14 Apr 2026 - 11:03

score 1.8k · Answer 15 · 2026-04-17 07:40:30

1.8k

Views

Prove for all sets A, B and C, if (B ∩ C) ⊆ A, then (A-B) ∩ (A-C) ≠ ∅

Published on 17 Apr 2026 - 7:40

List Question

Is the proof correct and rigorous enough? B. Demidovich, Problems in Mathematical Analysis, §1, ex. 10

Exercise about pointwise and uniform convergence

Calculate $\lim_{x\rightarrow\infty}\frac{x^3}{3^x}$. What is wrong with my calculations?

Using the binomial expansion to approximate a square root.

Prove $\bigcap_{n\in \mathbb{N}} (0, \frac{1}n)= \emptyset $

Show that every regular Lindelof space is normal

If $t_n=\frac{1}{2n+1}-\frac{1}{2n+2}+\frac{1}{2n+3}-\frac{1}{2n+4}+\cdots +\frac{1}{4n-1}-\frac{1}{4n}$. Find $\lim_{n \to \infty} nt_n$

sum of the first $n^2$ natural numbers closed form

Prove that for all trees G = (V, Ε) and all vertices $c\in V$, if υ has at least two neighbours, then ν is a cut vertex of G using induction.

On the locally Euclidean topological spaces of dimension n

Prove there exists $c \in (a,b)$ such that $f(c)-f(a)=(c-a)f'(c).$

Finding generators of a group from its action on a topological space

Generalization and Proof of Littlewood's Conjecture

Is this theorem concerning the change of bases and my proof thereof correct?

Prove for all sets A, B and C, if (B ∩ C) ⊆ A, then (A-B) ∩ (A-C) ≠ ∅

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