Question

$\sup\{\cos(2\pi t)\}_{t \in \mathbb Q \setminus \mathbb Z} = \sup\{\cos(2\pi t)\}_{t \in \mathbb Q}$?

score 205 · Answer 1 · 2026-04-16 14:03:55

205

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$\sup\{\cos(2\pi t)\}_{t \in \mathbb Q \setminus \mathbb Z} = \sup\{\cos(2\pi t)\}_{t \in \mathbb Q}$?

Published on 16 Apr 2026 - 14:03

score 573 · Answer 2 · 2026-05-11 02:50:20

573

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Use De Moivre–Laplace to approximate $1 - \sum_{k=0}^{n} {n \choose k} p^{k}(1-p)^{n-k} \log\left(1+\left(\frac{p}{1-p}\right)^{n-2k}\right)$

Published on 11 May 2026 - 2:50

score 378 · Answer 3 · 2026-04-13 16:37:05

378

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3 Exercises on uniform convergence of complex sequences and relation to Weierstrass M-Test

Published on 13 Apr 2026 - 16:37

score 70 · Answer 4 · 2026-05-11 02:45:39

70

Views

Pick pairs of sequences with certain properties

Published on 11 May 2026 - 2:45

score 182 · Answer 5 · 2026-05-11 00:47:17

182

Views

Prove geometrically that $\sum\limits_{n=1}^\infty\,\dfrac{1}{n(n+1)}=1$.

Published on 11 May 2026 - 0:47

score 221 · Answer 6 · 2026-04-13 19:41:28

221

Views

Why this sequence converges? Regarding "If $a$ is a limit point then we can find a sequence converging to it"

Published on 13 Apr 2026 - 19:41

score 445 · Answer 7 · 2026-04-11 10:18:04

445

Views

Convergence of a family of series

Published on 11 Apr 2026 - 10:18

score 596 · Answer 8 · 2026-04-12 09:25:46

596

Views

Composition of Formal Power Series

Published on 12 Apr 2026 - 9:25

score 144 · Answer 9 · 2026-04-12 20:24:39

144

Views

Limit of a quotient of factorials

Published on 12 Apr 2026 - 20:24

score 62 · Answer 10 · 2026-04-14 11:33:19

62

Views

Description of an Increasing Maximum Value in a Sequence of Integers

Published on 14 Apr 2026 - 11:33

score 71 · Answer 11 · 2026-05-10 15:19:25

71

Views

Is there a good resource for information on infinite double series?

Published on 10 May 2026 - 15:19

score 52 · Answer 12 · 2026-04-12 01:34:55

52

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Types of sequences

Published on 12 Apr 2026 - 1:34

score 76 · Answer 13 · 2026-04-14 07:51:37

76

Views

Prove that a sequence is convergent

Published on 14 Apr 2026 - 7:51

score 227 · Answer 14 · 2026-04-15 20:31:25

227

Views

For every continuous function $g$ does there exists a sequence of functions $\{f_n\}$ which converges to $g$?

Published on 15 Apr 2026 - 20:31

score 67 · Answer 15 · 2026-05-10 15:37:47

67

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What is the name of this chaotic sequence?

Published on 10 May 2026 - 15:37

List Question

$\sup\{\cos(2\pi t)\}_{t \in \mathbb Q \setminus \mathbb Z} = \sup\{\cos(2\pi t)\}_{t \in \mathbb Q}$?

Use De Moivre–Laplace to approximate $1 - \sum_{k=0}^{n} {n \choose k} p^{k}(1-p)^{n-k} \log\left(1+\left(\frac{p}{1-p}\right)^{n-2k}\right)$

3 Exercises on uniform convergence of complex sequences and relation to Weierstrass M-Test

Pick pairs of sequences with certain properties

Prove geometrically that $\sum\limits_{n=1}^\infty\,\dfrac{1}{n(n+1)}=1$.

Why this sequence converges? Regarding "If $a$ is a limit point then we can find a sequence converging to it"

Convergence of a family of series

Composition of Formal Power Series

Limit of a quotient of factorials

Description of an Increasing Maximum Value in a Sequence of Integers

Is there a good resource for information on infinite double series?

Types of sequences

Prove that a sequence is convergent

For every continuous function $g$ does there exists a sequence of functions $\{f_n\}$ which converges to $g$?

What is the name of this chaotic sequence?

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