Question

Find $ \ f:\mathbb Z \to \mathbb C$ such that $f(n)= -f(-n+m)$ for $m\in \mathbb Z \setminus 3\mathbb Z$ and $n\in \mathbb Z$.

score 66 · Answer 1 · 2026-04-14 19:17:51

66

Views

Find $ \ f:\mathbb Z \to \mathbb C$ such that $f(n)= -f(-n+m)$ for $m\in \mathbb Z \setminus 3\mathbb Z$ and $n\in \mathbb Z$.

Published on 14 Apr 2026 - 19:17

score 633 · Answer 2 · 2026-04-17 07:02:30

633

Views

A positive sequence which is arbitrarily small and diverging

Published on 17 Apr 2026 - 7:02

score 86 · Answer 3 · 2026-04-10 16:25:12

86

Views

Finding a specific set of functions. (Please, read the description)

Published on 10 Apr 2026 - 16:25

score 28 · Answer 4 · 2026-04-10 04:38:20

28

Views

Method for increasing the bounds of a series

Published on 10 Apr 2026 - 4:38

score 75 · Answer 5 · 2026-04-16 08:43:37

75

Views

Check the continuity of $f$ and $g$.

Published on 16 Apr 2026 - 8:43

score 226 · Answer 6 · 2026-04-16 09:55:07

If $\{j_n\}$ is increasing and $\lim\limits_{n→∞}\frac{j_n}n=+∞$, then $\sum\limits_{n=1}^∞\frac{(-1)^{[\sqrt n]}}{j_n}$ converges

score 1.8k · Answer 7 · 2026-03-25 04:43:51

1.8k

Views

Finding the Number of Terms (n) in a Geometric Series When Given $t_1$ to $t_3$ and The Sum?

Published on 25 Mar 2026 - 4:43

score 34 · Answer 8 · 2026-04-11 21:51:00

34

Views

Changing indexing of an infinte series

Published on 11 Apr 2026 - 21:51

score 40 · Answer 9 · 2026-04-18 13:57:21

40

Views

Check my answer for uniform convergence

Published on 18 Apr 2026 - 13:57

score 38 · Answer 10 · 2026-04-14 13:14:31

38

Views

How to determine if $\sum \frac{(n-\ln(n))^n}{2^n \cdot n^n}$ converges?

Published on 14 Apr 2026 - 13:14

score 52 · Answer 11 · 2026-04-13 20:52:56

52

Views

Suppose $f(x)$ monotonous decreases on $[0,+\infty) $

Published on 13 Apr 2026 - 20:52

score 57 · Answer 12 · 2026-04-12 14:00:36

57

Views

How to find the exact spacing to "hit" three known numbers in a linear series

Published on 12 Apr 2026 - 14:00

score 180 · Answer 13 · 2026-04-12 15:43:57

180

Views

How to find $\sum_{n=0}^{+\infty} \dfrac{1}{(kn)!}$?

Published on 12 Apr 2026 - 15:43

score 221 · Answer 14 · 2026-04-14 18:01:14

221

Views

If a series converges, does the sequence of its summands necessarily converge to zero?

Published on 14 Apr 2026 - 18:01

score 344 · Answer 15 · 2026-04-22 11:55:27

344

Views

A counterexample to monotonicity in Leibniz criterion for alternating series

Published on 22 Apr 2026 - 11:55

List Question

Find $ \ f:\mathbb Z \to \mathbb C$ such that $f(n)= -f(-n+m)$ for $m\in \mathbb Z \setminus 3\mathbb Z$ and $n\in \mathbb Z$.

A positive sequence which is arbitrarily small and diverging

Finding a specific set of functions. (Please, read the description)

Method for increasing the bounds of a series

Check the continuity of $f$ and $g$.

If $\{j_n\}$ is increasing and $\lim\limits_{n→∞}\frac{j_n}n=+∞$, then $\sum\limits_{n=1}^∞\frac{(-1)^{[\sqrt n]}}{j_n}$ converges

Finding the Number of Terms (n) in a Geometric Series When Given $t_1$ to $t_3$ and The Sum?

Changing indexing of an infinte series

Check my answer for uniform convergence

How to determine if $\sum \frac{(n-\ln(n))^n}{2^n \cdot n^n}$ converges?

Suppose $f(x)$ monotonous decreases on $[0,+\infty) $

How to find the exact spacing to "hit" three known numbers in a linear series

How to find $\sum_{n=0}^{+\infty} \dfrac{1}{(kn)!}$?

If a series converges, does the sequence of its summands necessarily converge to zero?

A counterexample to monotonicity in Leibniz criterion for alternating series

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