Question

Two metrics in the space of bounded sequences in $\mathbb{C}$.

score 30 · Answer 1 · 2026-03-29 18:33:10

30

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Two metrics in the space of bounded sequences in $\mathbb{C}$.

Published on 29 Mar 2026 - 18:33

score 221 · Answer 2 · 2026-04-09 02:49:09

221

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What do we know about Lucas sequence entry points?

Published on 09 Apr 2026 - 2:49

score 143 · Answer 3 · 2026-04-08 23:30:12

143

Views

For $k\in\mathbb{R}$, evaluate $\lim\limits_{n \to \infty} (\sqrt{n^2+nk+1}-\lfloor \sqrt{n^2+nk+1} \rfloor)$

Published on 08 Apr 2026 - 23:30

score 1.5k · Answer 4 · 2026-04-11 14:51:39

1.5k

Views

Finding the Common Ratio by the first term and the sum to infinity?

Published on 11 Apr 2026 - 14:51

score 21 · Answer 5 · 2026-04-09 05:05:00

21

Views

How to determine whether the sum of a functional series is bounded?

Published on 09 Apr 2026 - 5:05

score 358 · Answer 6 · 2026-04-12 06:46:58

358

Views

Explanation for OEIS $\text{A}000157$ – "Number of Boolean functions of $n$ variables"

Published on 12 Apr 2026 - 6:46

score 124 · Answer 7 · 2026-04-13 15:15:55

124

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What is the sum of the series with general term $\frac{(-1)^{n-1}\pi^{2n-1}}{(2n-1)!}$

Published on 13 Apr 2026 - 15:15

score 103 · Answer 8 · 2026-03-26 16:56:42

103

Views

Prove "$ \lim_{n\to\infty}\|x_n\|_1 =0 \iff \lim_{n\to\infty}\|x_n\|_2 =0$" $\implies \|\cdot\|_1$ equivalent to $\|\cdot\|_2$

Published on 26 Mar 2026 - 16:56

score 212 · Answer 9 · 2026-04-11 13:50:09

212

Views

Understanding properties of a sequence, $(a_n)$ given $\;\liminf|a_n|=0$

Published on 11 Apr 2026 - 13:50

score 22 · Answer 10 · 2026-04-11 22:51:00

22

Views

Lower bound proof without limits

Published on 11 Apr 2026 - 22:51

score 106 · Answer 11 · 2018-02-15 04:24:15

106

Views

Prove that the sequence $\{a_n|a_n \geq 6 \}$ has finitely many elements

Published on 15 Feb 2018 - 4:24

score 197 · Answer 12 · 2026-03-25 06:06:45

197

Views

Find the Maclaurin series representation of the function: $\ln(\frac{1+x}{1-x})$

Published on 25 Mar 2026 - 6:06

score 120 · Answer 13 · 2026-04-12 22:48:12

120

Views

Find limit of $\{a_n\}$

Published on 12 Apr 2026 - 22:48

score 1.3k · Answer 14 · 2026-04-13 09:34:21

1.3k

Views

If $X$ is first-countable and for $x_n\to x$ we have that $f(x_n)\to f(x)$, then $f$ is continuous.

Published on 13 Apr 2026 - 9:34

score 40 · Answer 15 · 2026-04-12 22:46:26

40

Views

limits of partial sequences

Published on 12 Apr 2026 - 22:46

List Question

Two metrics in the space of bounded sequences in $\mathbb{C}$.

What do we know about Lucas sequence entry points?

For $k\in\mathbb{R}$, evaluate $\lim\limits_{n \to \infty} (\sqrt{n^2+nk+1}-\lfloor \sqrt{n^2+nk+1} \rfloor)$

Finding the Common Ratio by the first term and the sum to infinity?

How to determine whether the sum of a functional series is bounded?

Explanation for OEIS $\text{A}000157$ – "Number of Boolean functions of $n$ variables"

What is the sum of the series with general term $\frac{(-1)^{n-1}\pi^{2n-1}}{(2n-1)!}$

Prove "$ \lim_{n\to\infty}\|x_n\|_1 =0 \iff \lim_{n\to\infty}\|x_n\|_2 =0$" $\implies \|\cdot\|_1$ equivalent to $\|\cdot\|_2$

Understanding properties of a sequence, $(a_n)$ given $\;\liminf|a_n|=0$

Lower bound proof without limits

Prove that the sequence $\{a_n|a_n \geq 6 \}$ has finitely many elements

Find the Maclaurin series representation of the function: $\ln(\frac{1+x}{1-x})$

Find limit of $\{a_n\}$

If $X$ is first-countable and for $x_n\to x$ we have that $f(x_n)\to f(x)$, then $f$ is continuous.

limits of partial sequences

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