Question

how to combine 2 sequences of binary numbers

score 875 · Answer 1 · 2026-05-10 18:01:18

875

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how to combine 2 sequences of binary numbers

Published on 10 May 2026 - 18:01

score 74 · Answer 2 · 2026-04-16 14:49:37

74

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converge of the series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^3+x}$ to continuously differentiable function

Published on 16 Apr 2026 - 14:49

score 316 · Answer 3 · 2026-04-15 10:36:04

316

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How do you show that $\sum_{n=0}^\infty\frac1{n!(n+2)}=1$?

Published on 15 Apr 2026 - 10:36

score 1.4k · Answer 4 · 2026-05-10 12:53:24

1.4k

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Exercise 1.1 from Introduction of Pattern Recognition and Machine Learning by Christopher Bishop

Published on 10 May 2026 - 12:53

score 5.3k · Answer 5 · 2026-04-15 14:02:03

5.3k

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Let $(x_n)$ and $(y_n)$ be given sequences and define $(z_n)$ to be the "shuffled" sequence...

Published on 15 Apr 2026 - 14:02

score 2.3k · Answer 6 · 2026-05-11 08:33:44

2.3k

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Finding non-recursive formula from recursive formula $a(n+1) = \frac{a(n) + a(n-1)}{2}$

Published on 11 May 2026 - 8:33

score 104 · Answer 7 · 2026-04-15 22:15:33

104

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Examine convergence $\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n}} - \sqrt{\ln{\frac{n+1}{n}}} \right) $

Published on 15 Apr 2026 - 22:15

score 81 · Answer 8 · 2026-04-15 18:06:19

81

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Prove that $\lim\limits_{x\to 1^{-}}f(x)=-1+\ln 4$ where $f(x)=\sum_{n=1}^{\infty}(-1)^{n-1}\frac{x^{n+1}}{n(n+1)}$

Published on 15 Apr 2026 - 18:06

score 55 · Answer 9 · 2026-04-08 22:33:24

55

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Can growth ratio between convergent & divergent series be arbitrarily small?

Published on 08 Apr 2026 - 22:33

score 1.5k · Answer 10 · 2026-04-12 15:39:18

1.5k

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How one can write the delta Dirac function using Fourier series expansion such that summation is performed over odd indices only?

Published on 12 Apr 2026 - 15:39

score 67 · Answer 11 · 2026-04-11 17:26:17

67

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How to prove the sums have not the same sign.

Published on 11 Apr 2026 - 17:26

score 184 · Answer 12 · 2026-05-11 05:07:48

184

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Does the limit of the recursive sequence $a_{n+1}=\frac{n+1}{\frac{1}{a_{n}}-(n+1)}$ converge to the same value regardless of whatever $a_0$ is?

Published on 11 May 2026 - 5:07

score 112 · Answer 13 · 2026-04-16 13:09:46

112

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The limit of a sequence $u_{n+1}=\exp(u_n)+u_n$

Published on 16 Apr 2026 - 13:09

score 52 · Answer 14 · 2026-05-04 12:25:33

52

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All k-term sums of the first n natural numbers

Published on 04 May 2026 - 12:25

score 3.4k · Answer 15 · 2026-04-14 01:30:42

3.4k

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Proving convergence of geometric series by induction

Published on 14 Apr 2026 - 1:30

List Question

how to combine 2 sequences of binary numbers

converge of the series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^3+x}$ to continuously differentiable function

How do you show that $\sum_{n=0}^\infty\frac1{n!(n+2)}=1$?

Exercise 1.1 from Introduction of Pattern Recognition and Machine Learning by Christopher Bishop

Let $(x_n)$ and $(y_n)$ be given sequences and define $(z_n)$ to be the "shuffled" sequence...

Finding non-recursive formula from recursive formula $a(n+1) = \frac{a(n) + a(n-1)}{2}$

Examine convergence $\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n}} - \sqrt{\ln{\frac{n+1}{n}}} \right) $

Prove that $\lim\limits_{x\to 1^{-}}f(x)=-1+\ln 4$ where $f(x)=\sum_{n=1}^{\infty}(-1)^{n-1}\frac{x^{n+1}}{n(n+1)}$

Can growth ratio between convergent & divergent series be arbitrarily small?

How one can write the delta Dirac function using Fourier series expansion such that summation is performed over odd indices only?

How to prove the sums have not the same sign.

Does the limit of the recursive sequence $a_{n+1}=\frac{n+1}{\frac{1}{a_{n}}-(n+1)}$ converge to the same value regardless of whatever $a_0$ is?

The limit of a sequence $u_{n+1}=\exp(u_n)+u_n$

All k-term sums of the first n natural numbers

Proving convergence of geometric series by induction

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