Question

When is a series of matrices divergent. How to define divergence in this case?

score 402 · Answer 1 · 2026-03-25 06:04:39

402

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When is a series of matrices divergent. How to define divergence in this case?

Published on 25 Mar 2026 - 6:04

score 83 · Answer 2 · 2026-04-11 22:37:27

83

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represent $x^3 +2x$ as power series

Published on 11 Apr 2026 - 22:37

score 40 · Answer 3 · 2026-04-12 12:30:30

40

Views

What does term per term multiplication of power series look like?

Published on 12 Apr 2026 - 12:30

score 101 · Answer 4 · 2020-06-05 22:48:39

101

Views

Proof $\lim \limits_{n \to \infty} \frac{1}{\sqrt[n]{n!}} = 0$ using the exponential series.

Published on 05 Jun 2020 - 22:48

score 27 · Answer 5 · 2026-04-11 16:51:52

27

Views

The limit behavior of the positive root $η_1$ of power series $\sum_{k = - ν}^{+ ∞}{p_k t^k}$

Published on 11 Apr 2026 - 16:51

score 31 · Answer 6 · 2020-06-08 15:43:25

31

Views

Radius of convergence $\Sigma_{n=0}^{\infty}\frac{(-1)^n}{(2n)!}x^{2n}$ is my method right?

Published on 08 Jun 2020 - 15:43

score 38 · Answer 7 · 2026-04-12 05:29:42

38

Views

Field of convergence, prove it's open?

Published on 12 Apr 2026 - 5:29

score 319 · Answer 8 · 2026-04-11 16:55:21

319

Views

Uniform convergence of analytic function on a closed and bounded interval

Published on 11 Apr 2026 - 16:55

score 1.1k · Answer 9 · 2026-04-11 06:22:06

1.1k

Views

Interval of convergence and integration of a power series

Published on 11 Apr 2026 - 6:22

score 50 · Answer 10 · 2026-04-02 07:05:43

50

Views

Show that $F(x)=\frac{x}{(1-x)^2}-\frac{2x}{(2-x)^2}=\sum_{n=0}^{\infty}n(1-2^{-n})x^n$

Published on 02 Apr 2026 - 7:05

score 106 · Answer 11 · 2026-04-12 04:37:44

106

Views

What do people mean by a "smooth but not analytic" function?

Published on 12 Apr 2026 - 4:37

score 28 · Answer 12 · 2026-04-11 21:17:48

28

Views

Power series expansion of an expresion

Published on 11 Apr 2026 - 21:17

score 36 · Answer 13 · 2026-04-09 17:27:01

36

Views

Show the correctness of this derivation to the Taylor's Theorem?

Published on 09 Apr 2026 - 17:27

score 165 · Answer 14 · 2020-06-11 21:12:03

165

Views

Can I replace $x$ with $t=2x+1$ to find the radius of convergence of $\sum_{n=1}^\infty\left(1+\frac{(-1)^n}n\right)^{n^2}\cdot\frac{(2x+1)^n}n$?

Published on 11 Jun 2020 - 21:12

score 53 · Answer 15 · 2026-04-10 03:27:32

53

Views

Finding the domain of convergence

Published on 10 Apr 2026 - 3:27

List Question

When is a series of matrices divergent. How to define divergence in this case?

represent $x^3 +2x$ as power series

What does term per term multiplication of power series look like?

Proof $\lim \limits_{n \to \infty} \frac{1}{\sqrt[n]{n!}} = 0$ using the exponential series.

The limit behavior of the positive root $η_1$ of power series $\sum_{k = - ν}^{+ ∞}{p_k t^k}$

Radius of convergence $\Sigma_{n=0}^{\infty}\frac{(-1)^n}{(2n)!}x^{2n}$ is my method right?

Field of convergence, prove it's open?

Uniform convergence of analytic function on a closed and bounded interval

Interval of convergence and integration of a power series

Show that $F(x)=\frac{x}{(1-x)^2}-\frac{2x}{(2-x)^2}=\sum_{n=0}^{\infty}n(1-2^{-n})x^n$

What do people mean by a "smooth but not analytic" function?

Power series expansion of an expresion

Show the correctness of this derivation to the Taylor's Theorem?

Can I replace $x$ with $t=2x+1$ to find the radius of convergence of $\sum_{n=1}^\infty\left(1+\frac{(-1)^n}n\right)^{n^2}\cdot\frac{(2x+1)^n}n$?

Finding the domain of convergence

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