Question

Sum of series $\frac{x^{3n}}{(n+1)}$

score 87 · Answer 1 · 2026-04-13 12:51:59

87

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Sum of series $\frac{x^{3n}}{(n+1)}$

Published on 13 Apr 2026 - 12:51

score 279 · Answer 2 · 2026-04-14 02:22:47

279

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False proof that infinite dimensional Banach space has no countable basis

Published on 14 Apr 2026 - 2:22

score 59 · Answer 3 · 2026-04-14 01:53:50

59

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Show that $\sum_{n=1}^{\infty}\frac{1}{n^z}$ converges locally uniformly on the set $\textrm{Re}(z) > 1$

Published on 14 Apr 2026 - 1:53

score 80 · Answer 4 · 2026-04-13 16:12:47

80

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Generalize an equation for $y_i$ given the following sequence of functions: $y_1 = \beta_0 + \beta_1x_1$, . . .

Published on 13 Apr 2026 - 16:12

score 843 · Answer 5 · 2026-04-12 22:35:09

843

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Finding the degree of a Maclaurin polynomial of $\ln(x)$ for the error to $\lt0.001$

Published on 12 Apr 2026 - 22:35

score 83 · Answer 6 · 2026-03-26 00:53:51

83

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Which of these series will be always convergent if $\sum a_n$ is convergent.?

Published on 26 Mar 2026 - 0:53

score 385 · Answer 7 · 2026-03-26 00:53:41

385

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Prove the sequence $x_{n+1}=\frac{1}{4-x_n}, x_1=3$ converges.

Published on 26 Mar 2026 - 0:53

score 50 · Answer 8 · 2026-04-11 08:16:10

50

Views

problem: Limit of series

Published on 11 Apr 2026 - 8:16

score 176 · Answer 9 · 2026-04-13 14:59:40

176

Views

General formula for the $n^{\rm th}$ Smarandache number

Published on 13 Apr 2026 - 14:59

score 56 · Answer 10 · 2026-04-13 23:06:29

56

Views

Example for the one theorem about series convergence

Published on 13 Apr 2026 - 23:06

score 148 · Answer 11 · 2026-03-29 05:50:19

148

Views

Evaluate a Dirichlet series related to the ring of Gaussian integers

Published on 29 Mar 2026 - 5:50

score 98 · Answer 12 · 2018-02-20 14:30:34

98

Views

Let $a_n=\frac{(-1)^n}{\sqrt{(1+n)}}$ then which of the following is correct?

Published on 20 Feb 2018 - 14:30

score 2.9k · Answer 13 · 2026-03-25 07:45:08

2.9k

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For which values of $x$ does these series converge absolutely, converge conditionally or diverge

Published on 25 Mar 2026 - 7:45

score 94 · Answer 14 · 2026-04-09 02:46:32

94

Views

Find the value of $R$ such that $\sum_{n=0}^{\infty} \frac{x^n}{n! \cdot (\ln 3)^n} = 3^x, \forall x \in (-R,R)$

Published on 09 Apr 2026 - 2:46

score 16 · Answer 15 · 2026-03-25 06:12:59

16

Views

Showing that $\Psi: l_1 \rightarrow l_1$ such that $\Psi (u)=v$ where $v_n = \sum^{n}_{p=1}u_pu_{n-p}$ is differentiable.

Published on 25 Mar 2026 - 6:12

List Question

Sum of series $\frac{x^{3n}}{(n+1)}$

False proof that infinite dimensional Banach space has no countable basis

Show that $\sum_{n=1}^{\infty}\frac{1}{n^z}$ converges locally uniformly on the set $\textrm{Re}(z) > 1$

Generalize an equation for $y_i$ given the following sequence of functions: $y_1 = \beta_0 + \beta_1x_1$, . . .

Finding the degree of a Maclaurin polynomial of $\ln(x)$ for the error to $\lt0.001$

Which of these series will be always convergent if $\sum a_n$ is convergent.?

Prove the sequence $x_{n+1}=\frac{1}{4-x_n}, x_1=3$ converges.

problem: Limit of series

General formula for the $n^{\rm th}$ Smarandache number

Example for the one theorem about series convergence

Evaluate a Dirichlet series related to the ring of Gaussian integers

Let $a_n=\frac{(-1)^n}{\sqrt{(1+n)}}$ then which of the following is correct?

For which values of $x$ does these series converge absolutely, converge conditionally or diverge

Find the value of $R$ such that $\sum_{n=0}^{\infty} \frac{x^n}{n! \cdot (\ln 3)^n} = 3^x, \forall x \in (-R,R)$

Showing that $\Psi: l_1 \rightarrow l_1$ such that $\Psi (u)=v$ where $v_n = \sum^{n}_{p=1}u_pu_{n-p}$ is differentiable.

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