Question

For what $x>0$ series $\sum_{n=1}^{\infty} x^{1+\frac{1}{\sqrt2}+\frac{1}{\sqrt3}...+\frac{1}{\sqrt n}}$ is convergent?

score 91 · Answer 1 · 2026-03-29 03:36:23

91

Views

For what $x>0$ series $\sum_{n=1}^{\infty} x^{1+\frac{1}{\sqrt2}+\frac{1}{\sqrt3}...+\frac{1}{\sqrt n}}$ is convergent?

Published on 29 Mar 2026 - 3:36

score 72 · Answer 2 · 2026-03-29 20:39:34

72

Views

Problems with proof by induction $\frac1{1\times2} + \frac1{2\times3} + \dots + \frac1{n(n+1)} = \frac1{n+1}$?

Published on 29 Mar 2026 - 20:39

score 4.7k · Answer 3 · 2018-11-14 01:32:42

4.7k

Views

Formula when index of sigma is negative

Published on 14 Nov 2018 - 1:32

score 175 · Answer 4 · 2026-03-27 22:57:41

175

Views

Given big rectangle of size $x, y$, count sum of areas of smaller rectangles.

Published on 27 Mar 2026 - 22:57

score 35 · Answer 5 · 2026-03-27 07:57:17

35

Views

Resolving this summation using the given pmf

Published on 27 Mar 2026 - 7:57

score 192 · Answer 6 · 2026-03-25 20:11:59

192

Views

sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Published on 25 Mar 2026 - 20:11

score 39 · Answer 7 · 2018-11-14 19:30:28

39

Views

Why is the Big O characterizaion of this summation O(n^(n+1))?

Published on 14 Nov 2018 - 19:30

score 1.5k · Answer 8 · 2026-03-29 03:52:47

1.5k

Views

Maximizing a weighted sum of logarithms

Published on 29 Mar 2026 - 3:52

score 64 · Answer 9 · 2018-11-14 22:18:05

64

Views

How can I calculate the sum of $\sum\limits_{n = 1}^{\infty} n(n+3)x^n$?

Published on 14 Nov 2018 - 22:18

score 69 · Answer 10 · 2018-11-15 00:31:58

69

Views

Sum of Itemwise Products of Two Sets of Real Numbers

Published on 15 Nov 2018 - 0:31

score 70 · Answer 11 · 2026-03-27 20:19:55

70

Views

Is there a way to solve this equation arising from a weighted sum?

Published on 27 Mar 2026 - 20:19

score 1.7k · Answer 12 · 2026-03-26 05:55:58

1.7k

Views

Convince me: limit of sum of a constant is infinity

Published on 26 Mar 2026 - 5:55

score 122 · Answer 13 · 2026-03-25 03:01:50

122

Views

Contour integral with branch points inside argument of logarithm

Published on 25 Mar 2026 - 3:01

score 173 · Answer 14 · 2026-03-26 06:02:36

173

Views

$(I-A)^{-1}=\sum_{i=0}^\infty A^i$

Published on 26 Mar 2026 - 6:02

score 67 · Answer 15 · 2018-11-16 04:40:28

67

Views

Find the value Sumation

Published on 16 Nov 2018 - 4:40

List Question

For what $x>0$ series $\sum_{n=1}^{\infty} x^{1+\frac{1}{\sqrt2}+\frac{1}{\sqrt3}...+\frac{1}{\sqrt n}}$ is convergent?

Problems with proof by induction $\frac1{1\times2} + \frac1{2\times3} + \dots + \frac1{n(n+1)} = \frac1{n+1}$?

Formula when index of sigma is negative

Given big rectangle of size $x, y$, count sum of areas of smaller rectangles.

Resolving this summation using the given pmf

sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Why is the Big O characterizaion of this summation O(n^(n+1))?

Maximizing a weighted sum of logarithms

How can I calculate the sum of $\sum\limits_{n = 1}^{\infty} n(n+3)x^n$?

Sum of Itemwise Products of Two Sets of Real Numbers

Is there a way to solve this equation arising from a weighted sum?

Convince me: limit of sum of a constant is infinity

Contour integral with branch points inside argument of logarithm

$(I-A)^{-1}=\sum_{i=0}^\infty A^i$

Find the value Sumation

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