Question

Find all non-negative integer $n$ that satisfy $f(x+1)+f(x-1)=\sqrt nf(x)$

score 121 · Answer 1 · 2026-03-26 04:38:12

121

Views

Find all non-negative integer $n$ that satisfy $f(x+1)+f(x-1)=\sqrt nf(x)$

Published on 26 Mar 2026 - 4:38

score 221 · Answer 2 · 2018-09-15 07:17:44

221

Views

Prove $\lim\limits_{n \to \infty}\frac{a^n}{n!}=0~~~(a>0).$

Published on 15 Sep 2018 - 7:17

score 46 · Answer 3 · 2026-03-26 02:47:35

46

Views

Let $A$ be infinite and $\operatorname{Sq}(A)$ be the set of finite sequences in $A$. Then $A$ and $\operatorname{Sq}(A)$ are equinumerous

Published on 26 Mar 2026 - 2:47

score 204 · Answer 4 · 2018-09-15 14:32:27

204

Views

Proving $\bigcup_{n=1}^{\infty}[3 - \frac{1}{n}, 6] = [2, 6]$, have I done it correctly?

Published on 15 Sep 2018 - 14:32

score 390 · Answer 5 · 2018-09-15 19:53:47

390

Views

Law of Exponents proof for Abelian Groups

Published on 15 Sep 2018 - 19:53

score 40 · Answer 6 · 2026-03-25 01:24:00

40

Views

A proof for condition under which a monoid must also be a group: is it correct?

Published on 25 Mar 2026 - 1:24

score 3.2k · Answer 7 · 2026-03-25 09:25:08

3.2k

Views

(Multivariable Calculus) Convert $\rho = \sin \phi$ to cylindrical and rectangular

Published on 25 Mar 2026 - 9:25

score 41 · Answer 8 · 2018-09-16 01:16:11

41

Views

Showing there is no $\frac{m}{n} \in \mathbb{Q}\ s.t\ ( \frac{m}{n})^2 = 2$

Published on 16 Sep 2018 - 1:16

score 108 · Answer 9 · 2018-09-16 02:20:01

108

Views

A row of fifty coins with integer values are given.

Published on 16 Sep 2018 - 2:20

score 32 · Answer 10 · 2026-03-26 05:54:19

32

Views

Sufficient condition to make collection of topologies a linear order

Published on 26 Mar 2026 - 5:54

score 162 · Answer 11 · 2018-09-16 04:52:18

162

Views

$\Bbb N\times\Bbb N$ is countably infinite

Published on 16 Sep 2018 - 4:52

score 111 · Answer 12 · 2026-03-26 00:52:53

111

Views

Intuitive understanding of no gravity inside a hollow sphere

Published on 26 Mar 2026 - 0:52

score 42 · Answer 13 · 2026-04-02 13:33:57

42

Views

String permutations: ways to reorder DONALDDUCK with restrictions:

Published on 02 Apr 2026 - 13:33

score 110 · Answer 14 · 2026-04-07 18:53:50

110

Views

Proving and disproving some statements based on Extreme Value Theorem

Published on 07 Apr 2026 - 18:53

score 225 · Answer 15 · 2026-04-08 18:14:22

225

Views

Generalized De Morgan's laws

Published on 08 Apr 2026 - 18:14

List Question

Find all non-negative integer $n$ that satisfy $f(x+1)+f(x-1)=\sqrt nf(x)$

Prove $\lim\limits_{n \to \infty}\frac{a^n}{n!}=0~~~(a>0).$

Let $A$ be infinite and $\operatorname{Sq}(A)$ be the set of finite sequences in $A$. Then $A$ and $\operatorname{Sq}(A)$ are equinumerous

Proving $\bigcup_{n=1}^{\infty}[3 - \frac{1}{n}, 6] = [2, 6]$, have I done it correctly?

Law of Exponents proof for Abelian Groups

A proof for condition under which a monoid must also be a group: is it correct?

(Multivariable Calculus) Convert $\rho = \sin \phi$ to cylindrical and rectangular

Showing there is no $\frac{m}{n} \in \mathbb{Q}\ s.t\ ( \frac{m}{n})^2 = 2$

A row of fifty coins with integer values are given.

Sufficient condition to make collection of topologies a linear order

$\Bbb N\times\Bbb N$ is countably infinite

Intuitive understanding of no gravity inside a hollow sphere

String permutations: ways to reorder DONALDDUCK with restrictions:

Proving and disproving some statements based on Extreme Value Theorem

Generalized De Morgan's laws

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