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Infinite sum $S(k) = \lambda + 2^k \lambda^2 + 3^k \lambda^3 + \dots$

score 101 · Answer 1 · 2026-03-25 04:35:04

101

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Infinite sum $S(k) = \lambda + 2^k \lambda^2 + 3^k \lambda^3 + \dots$

Published on 25 Mar 2026 - 4:35

score 69 · Answer 2 · 2018-10-06 15:07:44

69

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score 273 · Answer 3 · 2026-03-20 15:49:29

273

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score 67 · Answer 4 · 2018-10-07 14:40:06

67

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score 54 · Answer 5 · 2018-10-07 19:22:45

54

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score 50 · Answer 6 · 2026-03-22 19:58:43

50

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score 93 · Answer 7 · 2018-10-09 01:32:23

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score 115 · Answer 8 · 2018-10-09 23:32:53

115

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score 38 · Answer 9 · 2018-10-10 01:26:01

38

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score 129 · Answer 10 · 2026-02-22 21:34:10

129

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score 827 · Answer 11 · 2018-10-10 14:26:30

827

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score 3k · Answer 12 · 2018-10-11 11:30:26

3k

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Why doesn't the Stone-Weierstrass theorem imply that every function has a power series expansion?

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score 65 · Answer 13 · 2026-03-25 15:53:38

65

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score 203 · Answer 14 · 2018-10-11 16:35:16

203

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score 57 · Answer 15 · 2026-03-26 21:12:36

57

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Published on 26 Mar 2026 - 21:12

List Question

Infinite sum $S(k) = \lambda + 2^k \lambda^2 + 3^k \lambda^3 + \dots$

Definite integral with power series

On the series expansion of $\frac{\operatorname{Li}_3(-x)}{1+x}$ and its usage

Solve $\sum_{k=0}^\infty\frac1{k!}$ without Taylor expansion or any expansion.

First three coefficients of $f(x)=\sum_{n=0}^{\infty}\frac{1}{\sqrt{1+n}}x^n$

Help working out the following series on the euclidean grid.

Bürmann-Lagrange formula for a function

Find the radius of convergence for this power series

Clarification for Calculus Question (I don't need an answer, just interpretation)

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convergence radius of power series with $x^{n^2}$

Why doesn't the Stone-Weierstrass theorem imply that every function has a power series expansion?

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Power series radius of convergence and if they are divergent or not

Conjecture: $(x^\alpha+p)^\beta=\,_1F_0(\beta;;x^\alpha+p-1)$ and ideas for proof

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