Question

Does there exist a non-increasing sequence with these properties?

score 157 · Answer 1 · 2026-04-11 20:17:24

157

Views

Does there exist a non-increasing sequence with these properties?

Published on 11 Apr 2026 - 20:17

score 453 · Answer 2 · 2026-04-10 19:39:08

453

Views

Computing limit of sequence of sets defined on indicator function

Published on 10 Apr 2026 - 19:39

score 44 · Answer 3 · 2018-01-28 10:21:14

44

Views

let $f:A \to \mathbb{R}$ be a function that $A \subseteq \mathbb{R}$ . let $x_0$ arbitrary,

Published on 28 Jan 2018 - 10:21

score 91 · Answer 4 · 2018-01-28 11:20:41

91

Views

$a_{n+1}-a_{n}\ge\frac{1}{n}$. Prove: $\lim\limits_{n \to \infty} a_n= \infty$

Published on 28 Jan 2018 - 11:20

score 133 · Answer 5 · 2026-04-09 08:09:53

133

Views

About the corvergence of series involving Stirling numbers of first kind and number theoretic functions

Published on 09 Apr 2026 - 8:09

score 280 · Answer 6 · 2026-04-11 20:29:30

280

Views

Proving of an inequality of a sequence

Published on 11 Apr 2026 - 20:29

score 300 · Answer 7 · 2018-01-28 13:55:37

300

Views

$\forall \epsilon>0, \lim \sup_{n \rightarrow \infty} |a_n - a| < \epsilon \iff (a_n) \rightarrow a$?

Published on 28 Jan 2018 - 13:55

score 324 · Answer 8 · 2026-04-09 10:14:06

324

Views

How to compute $\sum_{k=1}^{+\infty}kq^{k-1}$?

Published on 09 Apr 2026 - 10:14

score 181 · Answer 9 · 2026-04-09 04:34:16

181

Views

If one Arithmetic Mean (A.M) $A$ and the two Geometric Means (G.M.'s) $G_1$ and $G_2$ are inserted between two given positive numbers, prove that:

Published on 09 Apr 2026 - 4:34

score 218 · Answer 10 · 2026-04-01 12:14:47

218

Views

What is the infimum of this set?

Published on 01 Apr 2026 - 12:14

score 108 · Answer 11 · 2026-04-07 13:49:01

108

Views

Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

Published on 07 Apr 2026 - 13:49

score 1.9k · Answer 12 · 2026-04-09 02:55:48

1.9k

Views

Every non absolutely convergent series can be rearranged to converge to any $\lim \sup / \inf$ (Rudin)

Published on 09 Apr 2026 - 2:55

score 196 · Answer 13 · 2026-04-11 04:03:22

196

Views

Adding a constant to a Sigma notation

Published on 11 Apr 2026 - 4:03

score 634 · Answer 14 · 2018-01-28 18:12:14

634

Views

Consider the sequence $x_0 =\cos 0$, $x_{n+1} =\cos x_n$, how do I show it converges?

Published on 28 Jan 2018 - 18:12

score 755 · Answer 15 · 2026-04-10 01:21:21

755

Views

Every rearrangement of an absolutely convergent series converges to the same sum (Rudin)

Published on 10 Apr 2026 - 1:21

List Question

Does there exist a non-increasing sequence with these properties?

Computing limit of sequence of sets defined on indicator function

let $f:A \to \mathbb{R}$ be a function that $A \subseteq \mathbb{R}$ . let $x_0$ arbitrary,

$a_{n+1}-a_{n}\ge\frac{1}{n}$. Prove: $\lim\limits_{n \to \infty} a_n= \infty$

About the corvergence of series involving Stirling numbers of first kind and number theoretic functions

Proving of an inequality of a sequence

$\forall \epsilon>0, \lim \sup_{n \rightarrow \infty} |a_n - a| < \epsilon \iff (a_n) \rightarrow a$?

How to compute $\sum_{k=1}^{+\infty}kq^{k-1}$?

If one Arithmetic Mean (A.M) $A$ and the two Geometric Means (G.M.'s) $G_1$ and $G_2$ are inserted between two given positive numbers, prove that:

What is the infimum of this set?

Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

Every non absolutely convergent series can be rearranged to converge to any $\lim \sup / \inf$ (Rudin)

Adding a constant to a Sigma notation

Consider the sequence $x_0 =\cos 0$, $x_{n+1} =\cos x_n$, how do I show it converges?

Every rearrangement of an absolutely convergent series converges to the same sum (Rudin)

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