Question

Radius of convergence of series with alternating coefficients

score 237 · Answer 1 · 2014-05-04 18:02:32

237

Views

Radius of convergence of series with alternating coefficients

Published on 04 May 2014 - 18:02

score 834 · Answer 2 · 2014-05-04 19:08:35

834

Views

Partial sums for a power series

Published on 04 May 2014 - 19:08

score 189 · Answer 3 · 2014-05-05 21:35:51

189

Views

Where does the series converges $\sum^\infty_{n=1} (-5)^n \sqrt[5]{\frac{(2n-1)!!}{(2n)!!}}x^{3n}$Is the solution OK?

Published on 05 May 2014 - 21:35

score 99 · Answer 4 · 2014-05-06 18:22:37

99

Views

$\frac{1}{(1+s^{2}) (1+t^{2})}$ real analytic in $\mathbb R^{2}$ but not real-entire; why?

Published on 06 May 2014 - 18:22

score 280 · Answer 5 · 2014-05-06 20:59:42

How come Stone-Weierstrass theorem does not imply that in a given interval every continuous function has a power series expansion?

score 716 · Answer 6 · 2014-05-06 21:46:55

716

Views

Infinite differentiability and power series expansion

Published on 06 May 2014 - 21:46

score 80 · Answer 7 · 2014-05-07 21:52:59

80

Views

Power series with differentiable coefficients

Published on 07 May 2014 - 21:52

score 49 · Answer 8 · 2026-03-26 06:30:12

49

Views

What is Radius of Convergence used for?

Published on 26 Mar 2026 - 6:30

score 108 · Answer 9 · 2014-05-08 19:46:11

108

Views

Properties of power series and their analytic continuation

Published on 08 May 2014 - 19:46

score 1.8k · Answer 10 · 2014-05-09 10:09:12

1.8k

Views

Prove that $e^{\ln{z}}=z$ from the power series

Published on 09 May 2014 - 10:09

score 71 · Answer 11 · 2026-03-28 02:21:49

71

Views

Somehow "mirroring" the Taylor-expansion of some $g(x)$

Published on 28 Mar 2026 - 2:21

score 112 · Answer 12 · 2026-03-30 04:00:22

112

Views

Radius of Convergence ratio test

Published on 30 Mar 2026 - 4:00

score 40 · Answer 13 · 2014-05-10 12:55:32

40

Views

For what interval does this power series converge and for what interval does it determine a differentiable function?

Published on 10 May 2014 - 12:55

score 72 · Answer 14 · 2026-03-27 11:48:18

72

Views

Calculate the value of the integral of a series

Published on 27 Mar 2026 - 11:48

score 149 · Answer 15 · 2026-03-29 04:11:52

149

Views

Simplification trick

Published on 29 Mar 2026 - 4:11

List Question

Radius of convergence of series with alternating coefficients

Partial sums for a power series

Where does the series converges $\sum^\infty_{n=1} (-5)^n \sqrt[5]{\frac{(2n-1)!!}{(2n)!!}}x^{3n}$Is the solution OK?

$\frac{1}{(1+s^{2}) (1+t^{2})}$ real analytic in $\mathbb R^{2}$ but not real-entire; why?

How come Stone-Weierstrass theorem does not imply that in a given interval every continuous function has a power series expansion?

Infinite differentiability and power series expansion

Power series with differentiable coefficients

What is Radius of Convergence used for?

Properties of power series and their analytic continuation

Prove that $e^{\ln{z}}=z$ from the power series

Somehow "mirroring" the Taylor-expansion of some $g(x)$

Radius of Convergence ratio test

For what interval does this power series converge and for what interval does it determine a differentiable function?

Calculate the value of the integral of a series

Simplification trick

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