Question

Sequence of continuous 'tent' functions converging to dirac integral

score 558 · Answer 1 · 2026-04-12 01:00:24

558

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Sequence of continuous 'tent' functions converging to dirac integral

Published on 12 Apr 2026 - 1:00

score 97 · Answer 2 · 2026-04-13 01:38:27

97

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How do I express $a+ab+a^2b+a^2b^2+a^3b^2+a^3b^3+a^4b^3+....$?

Published on 13 Apr 2026 - 1:38

score 80 · Answer 3 · 2026-04-14 19:27:47

80

Views

Infinite Circles

Published on 14 Apr 2026 - 19:27

score 273 · Answer 4 · 2026-04-22 16:38:00

273

Views

Show that $ \sum_{k=0}^{j} \binom{2j+1}{k+j+1} \ \frac{(-1)^k}{2k+1}=2^{2j-1}\ B(j+1,1/2)$.

Published on 22 Apr 2026 - 16:38

score 128 · Answer 5 · 2026-04-16 06:10:30

128

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The set of sequences $e_j= (0,...,0,1,0,...)$ is closed in $\ell_1$.

Published on 16 Apr 2026 - 6:10

score 1.6k · Answer 6 · 2026-04-15 00:38:44

1.6k

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Find the Generating Function from the sequence (0,1,0,3,0,5,...)

Published on 15 Apr 2026 - 0:38

score 150 · Answer 7 · 2026-04-19 13:05:46

150

Views

If $\sum_{n=1}^\infty b_n^{1/\alpha} < \infty$ for some $\alpha > 1$, then $\sum_{n=1}^\infty b_n|x-a_n|^{-\alpha}$ converges almost everywhere.

Published on 19 Apr 2026 - 13:05

score 53 · Answer 8 · 2026-04-13 09:09:21

53

Views

How can I show the divergence of $\cos^3\frac{2n\pi}3$

Published on 13 Apr 2026 - 9:09

score 20 · Answer 9 · 2026-04-13 20:16:37

20

Views

Closed iff sums of distances of series converge in set

Published on 13 Apr 2026 - 20:16

score 206 · Answer 10 · 2026-04-15 13:46:12

206

Views

Is $\sum_{n=2}^\infty \frac{1}{n^\sigma \dot (n^\sigma-1)} $ convergent for $ 0 < \sigma < 1 , \sigma \in \mathbb{R} $

Published on 15 Apr 2026 - 13:46

score 54 · Answer 11 · 2026-04-11 03:36:11

54

Views

convergence of the sum and the product of two sequences in $[0, \infty]$

Published on 11 Apr 2026 - 3:36

score 372 · Answer 12 · 2026-04-24 23:54:01

372

Views

What is the limit of the average value of the first $n$ terms of $(1, 2, 1, 1, 1, 2, 1, 1, 2, 1, ...)$ as $n\to\infty$?

Published on 24 Apr 2026 - 23:54

score 211 · Answer 13 · 2026-04-11 04:35:17

211

Views

Bound for a double sum and power series

Published on 11 Apr 2026 - 4:35

score 469 · Answer 14 · 2026-04-21 12:31:34

469

Views

Lucas Sequence and primality tests. is this test deterministic?

Published on 21 Apr 2026 - 12:31

score 69 · Answer 15 · 2026-04-16 12:34:15

69

Views

$\lim_{n\to+\infty} \frac{1}{n\log(n)}\sum_{k=4}^{n}\frac{2k}{k^2-2k-3}$

Published on 16 Apr 2026 - 12:34

List Question

Sequence of continuous 'tent' functions converging to dirac integral

How do I express $a+ab+a^2b+a^2b^2+a^3b^2+a^3b^3+a^4b^3+....$?

Infinite Circles

Show that $ \sum_{k=0}^{j} \binom{2j+1}{k+j+1} \ \frac{(-1)^k}{2k+1}=2^{2j-1}\ B(j+1,1/2)$.

The set of sequences $e_j= (0,...,0,1,0,...)$ is closed in $\ell_1$.

Find the Generating Function from the sequence (0,1,0,3,0,5,...)

If $\sum_{n=1}^\infty b_n^{1/\alpha} < \infty$ for some $\alpha > 1$, then $\sum_{n=1}^\infty b_n|x-a_n|^{-\alpha}$ converges almost everywhere.

How can I show the divergence of $\cos^3\frac{2n\pi}3$

Closed iff sums of distances of series converge in set

Is $\sum_{n=2}^\infty \frac{1}{n^\sigma \dot (n^\sigma-1)} $ convergent for $ 0 < \sigma < 1 , \sigma \in \mathbb{R} $

convergence of the sum and the product of two sequences in $[0, \infty]$

What is the limit of the average value of the first $n$ terms of $(1, 2, 1, 1, 1, 2, 1, 1, 2, 1, ...)$ as $n\to\infty$?

Bound for a double sum and power series

Lucas Sequence and primality tests. is this test deterministic?

$\lim_{n\to+\infty} \frac{1}{n\log(n)}\sum_{k=4}^{n}\frac{2k}{k^2-2k-3}$

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