Question

Example where Ermakoff's convergence test is inconclusive

score 230 · Answer 1 · 2026-04-14 05:13:41

230

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Example where Ermakoff's convergence test is inconclusive

Published on 14 Apr 2026 - 5:13

score 53 · Answer 2 · 2026-04-13 22:40:05

53

Views

Limit of series divided and outside factor

Published on 13 Apr 2026 - 22:40

score 184 · Answer 3 · 2026-04-16 19:10:50

184

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Find the general term of the sequence $a_n = (0, 3, 1/2 , 5/3 , 2/3 , 7/5 , 3/4 , ...)$. Then find the limit of this sequence.

Published on 16 Apr 2026 - 19:10

score 283 · Answer 4 · 2026-04-16 02:30:44

283

Views

$\sum_{k=0}^\infty \frac{(-1)^k}{kn+1}$ and $\int_0^1 \frac{dx}{x^n+1}$

Published on 16 Apr 2026 - 2:30

score 115 · Answer 5 · 2026-04-20 11:17:30

115

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Limit of $S_n = \sum_{i = 1}^n \frac{i^k}{n^{k+1}} $

Published on 20 Apr 2026 - 11:17

score 115 · Answer 6 · 2026-04-13 00:29:19

115

Views

Uniform continuous function integrable?

Published on 13 Apr 2026 - 0:29

score 69 · Answer 7 · 2026-04-16 12:36:49

69

Views

sequence in A where the limit contains the greatest lower bound

Published on 16 Apr 2026 - 12:36

score 77 · Answer 8 · 2026-04-16 12:09:29

77

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prove that $ 1 + (1+a)x + (1+a+a^{2})x^{2}$ + ....$\infty$ is equal to $\frac{1}{(1-x)(1-ax)}$

Published on 16 Apr 2026 - 12:09

score 162 · Answer 9 · 2026-04-15 06:23:47

162

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proof $\lim x_n \le \lim y_n$ if $x_n \le y_n$ (clarification)

Published on 15 Apr 2026 - 6:23

score 49 · Answer 10 · 2026-04-11 14:50:32

49

Views

Is this a proof rigorous enough? (Definition of the limit)

Published on 11 Apr 2026 - 14:50

score 493 · Answer 11 · 2026-04-15 06:50:37

493

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$\lim (x_n^k) = (\lim x_n)^k$

Published on 15 Apr 2026 - 6:50

score 400 · Answer 12 · 2026-04-20 12:05:17

400

Views

On the Lambert series for the Möbius function

Published on 20 Apr 2026 - 12:05

score 254 · Answer 13 · 2026-04-10 17:47:47

254

Views

Exact Euler Maclaurin summation formula

Published on 10 Apr 2026 - 17:47

score 34 · Answer 14 · 2026-04-15 22:48:02

34

Views

Confirmation of Proof: $\forall a,b \in\mathbb{R}, \ \sum_{n=0}^\infty \frac{a}{b^n} = \frac{ab}{b-1}\Leftrightarrow \frac b2\in(1, a].$

Published on 15 Apr 2026 - 22:48

score 110 · Answer 15 · 2026-04-14 09:28:05

110

Views

Uniformly converges on bounded subset

Published on 14 Apr 2026 - 9:28

List Question

Example where Ermakoff's convergence test is inconclusive

Limit of series divided and outside factor

Find the general term of the sequence $a_n = (0, 3, 1/2 , 5/3 , 2/3 , 7/5 , 3/4 , ...)$. Then find the limit of this sequence.

$\sum_{k=0}^\infty \frac{(-1)^k}{kn+1}$ and $\int_0^1 \frac{dx}{x^n+1}$

Limit of $S_n = \sum_{i = 1}^n \frac{i^k}{n^{k+1}} $

Uniform continuous function integrable?

sequence in A where the limit contains the greatest lower bound

prove that $ 1 + (1+a)x + (1+a+a^{2})x^{2}$ + ....$\infty$ is equal to $\frac{1}{(1-x)(1-ax)}$

proof $\lim x_n \le \lim y_n$ if $x_n \le y_n$ (clarification)

Is this a proof rigorous enough? (Definition of the limit)

$\lim (x_n^k) = (\lim x_n)^k$

On the Lambert series for the Möbius function

Exact Euler Maclaurin summation formula

Confirmation of Proof: $\forall a,b \in\mathbb{R}, \ \sum_{n=0}^\infty \frac{a}{b^n} = \frac{ab}{b-1}\Leftrightarrow \frac b2\in(1, a].$

Uniformly converges on bounded subset

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