Question

Is my understanding of the proof of rearrangement theorem correct?

score 140 · Answer 1 · 2019-08-28 08:31:20

140

Views

Is my understanding of the proof of rearrangement theorem correct?

Published on 28 Aug 2019 - 8:31

score 1k · Answer 2 · 2019-08-28 20:27:09

1k

Views

Show that $2\cos z = e^{iz} + e^{-iz}$. Do I need absolute convergence?

Published on 28 Aug 2019 - 20:27

score 54 · Answer 3 · 2019-08-30 19:57:49

54

Views

Convergence of: $\sum _{n=1}^{\infty }{\left(-1\right)^{n}\frac{2^{n}\sin^{2n}{\left(x\right)}}{n}}$

Published on 30 Aug 2019 - 19:57

score 72 · Answer 4 · 2026-03-25 06:58:56

72

Views

Convergence of integral: $ \int_{0}^{\infty} \frac{\sin{\left(x+\frac{1}{x}\right)}}{x^{a}}\ dx $

Published on 25 Mar 2026 - 6:58

score 79 · Answer 5 · 2019-09-02 18:45:19

79

Views

Convergence of integral: $ \int_{0}^{\infty} \frac{x^{p}\sin{x}}{1+x^{q}}\ dx $

Published on 02 Sep 2019 - 18:45

score 64 · Answer 6 · 2019-09-03 08:29:19

64

Views

Prove that $\sum |x_k| < \infty \iff \sum |x_k|^p < \infty$

Published on 03 Sep 2019 - 8:29

score 268 · Answer 7 · 2019-09-09 10:50:22

268

Views

Michael Spivak "Calculus 3rd Edition" Chapter 23. Infinite Series Theorem 9 about $\sum_{n=1}^{\infty} a_n \cdot \sum_{n=1}^{\infty} b_n$.

Published on 09 Sep 2019 - 10:50

score 34 · Answer 8 · 2019-10-01 15:29:38

34

Views

Necessary conditions for solving equations including addition of multiple absolute value functions

Published on 01 Oct 2019 - 15:29

score 483 · Answer 9 · 2014-03-29 05:14:40

483

Views

Convergence or divergence of series where the terms include reciprocal of the natural logarithm

Published on 29 Mar 2014 - 5:14

score 455 · Answer 10 · 2014-04-05 15:21:58

455

Views

Absolute and conditional convergence of function series

Published on 05 Apr 2014 - 15:21

score 49 · Answer 11 · 2014-04-08 16:42:23

49

Views

Connection between series

Published on 08 Apr 2014 - 16:42

score 617 · Answer 12 · 2014-04-13 19:34:46

617

Views

Series convergent but not absolutely? $\sum_{n=1}^{\infty} \frac{\cos(n^p \pi)}{n^p}$

Published on 13 Apr 2014 - 19:34

score 241 · Answer 13 · 2014-04-15 00:50:03

241

Views

Absolute convergence when all the rotated series converge

Published on 15 Apr 2014 - 0:50

score 2.2k · Answer 14 · 2014-04-23 23:31:07

2.2k

Views

Absolute convergence does not imply convergence

Published on 23 Apr 2014 - 23:31

score 344 · Answer 15 · 2014-04-27 16:05:34

344

Views

Series convergence/ divergence $\sum_{n=1}^\infty(-0.75)^n\frac{n+1}2$

Published on 27 Apr 2014 - 16:05

List Question

Is my understanding of the proof of rearrangement theorem correct?

Show that $2\cos z = e^{iz} + e^{-iz}$. Do I need absolute convergence?

Convergence of: $\sum _{n=1}^{\infty }{\left(-1\right)^{n}\frac{2^{n}\sin^{2n}{\left(x\right)}}{n}}$

Convergence of integral: $ \int_{0}^{\infty} \frac{\sin{\left(x+\frac{1}{x}\right)}}{x^{a}}\ dx $

Convergence of integral: $ \int_{0}^{\infty} \frac{x^{p}\sin{x}}{1+x^{q}}\ dx $

Prove that $\sum |x_k| < \infty \iff \sum |x_k|^p < \infty$

Michael Spivak "Calculus 3rd Edition" Chapter 23. Infinite Series Theorem 9 about $\sum_{n=1}^{\infty} a_n \cdot \sum_{n=1}^{\infty} b_n$.

Necessary conditions for solving equations including addition of multiple absolute value functions

Convergence or divergence of series where the terms include reciprocal of the natural logarithm

Absolute and conditional convergence of function series

Connection between series

Series convergent but not absolutely? $\sum_{n=1}^{\infty} \frac{\cos(n^p \pi)}{n^p}$

Absolute convergence when all the rotated series converge

Absolute convergence does not imply convergence

Series convergence/ divergence $\sum_{n=1}^\infty(-0.75)^n\frac{n+1}2$

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