Question

testing convergence of given series and finding its limit

score 50 · Answer 1 · 2026-04-11 18:35:12

50

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testing convergence of given series and finding its limit

Published on 11 Apr 2026 - 18:35

score 58 · Answer 2 · 2026-04-15 02:28:19

58

Views

Cauchy convergence criteria

Published on 15 Apr 2026 - 2:28

score 515 · Answer 3 · 2026-05-10 23:27:49

515

Views

Does the limit of $\cos^{2n}(n)$, with $n$ a positive integer, converges as $n\to\infty$?

Published on 10 May 2026 - 23:27

score 65 · Answer 4 · 2026-04-16 13:18:49

65

Views

Finding the sum of the series $2^{n}+2^{n-1}+\dotsb+2^1+2^0$

Published on 16 Apr 2026 - 13:18

score 175 · Answer 5 · 2026-04-16 19:44:12

175

Views

Bartle Theorem 3.1.10 (Sequence section) Proof Question

Published on 16 Apr 2026 - 19:44

score 68 · Answer 6 · 2026-05-11 07:18:34

68

Views

Geometric row/column Sum Pattern in any numerical calculator

Published on 11 May 2026 - 7:18

score 35 · Answer 7 · 2026-04-17 01:39:19

35

Views

$\sum_k\left(\frac{a_k}{c_k}\right )^{2}$, $a_k=\frac{1}{k}$, $c_k$=$1$, $\frac{1}{2}$,$\frac{1}{2}$,$\frac{1}{3}$,$\frac{1}{3}$,$\frac{1}{3}$, ...

Published on 17 Apr 2026 - 1:39

score 61 · Answer 8 · 2026-04-16 16:23:40

61

Views

Sequences ${a_k}$ and ${c_k}$ such that $a_k$, $c_k \rightarrow 0$, $\sum_k a_k = \infty$, and $\sum_k\left(\frac{a_k}{c_k}\right )^{2} < \infty $

Published on 16 Apr 2026 - 16:23

score 244 · Answer 9 · 2026-04-15 06:21:11

244

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Solve : If $a$, $b$, $c$ and d are in H.P then find the value of $\frac{a + b}{ a - b} - \frac{c +d}{c -d}$

Published on 15 Apr 2026 - 6:21

score 78 · Answer 10 · 2026-04-14 16:03:51

78

Views

Does $\sum_{m=1}^{\infty}\sum_{n=1}^{\infty}a_{mn}^3=\sum_{n=1}^{\infty}\sum_{m=1}^{\infty}a_{mn}^3$ occur here?

Published on 14 Apr 2026 - 16:03

score 70 · Answer 11 · 2026-05-15 21:58:06

70

Views

Does $ \ (\sqrt[n]{n})^p \ \to 1 \ \text{as} \ n \to \infty \ \ \text{if} \ \ p < 1 \ $?

Published on 15 May 2026 - 21:58

score 62 · Answer 12 · 2026-04-15 23:53:24

62

Views

With $\alpha>0$, showing that $\int_0^1 t^\alpha(1-t^2)^kdt$ goes to $0$ as $k\to+\infty$

Published on 15 Apr 2026 - 23:53

score 177 · Answer 13 · 2026-05-10 23:28:05

177

Views

When does the limit $|\cos(n)|^{f(n)}$ converges as $n \rightarrow \infty, n \in \mathbb{N}$?

Published on 10 May 2026 - 23:28

score 223 · Answer 14 · 2026-04-12 02:03:33

223

Views

Finding value of a summation series.

Published on 12 Apr 2026 - 2:03

score 687 · Answer 15 · 2026-05-10 14:49:02

687

Views

Rearrangement of conditional convergent series

Published on 10 May 2026 - 14:49

List Question

testing convergence of given series and finding its limit

Cauchy convergence criteria

Does the limit of $\cos^{2n}(n)$, with $n$ a positive integer, converges as $n\to\infty$?

Finding the sum of the series $2^{n}+2^{n-1}+\dotsb+2^1+2^0$

Bartle Theorem 3.1.10 (Sequence section) Proof Question

Geometric row/column Sum Pattern in any numerical calculator

$\sum_k\left(\frac{a_k}{c_k}\right )^{2}$, $a_k=\frac{1}{k}$, $c_k$=$1$, $\frac{1}{2}$,$\frac{1}{2}$,$\frac{1}{3}$,$\frac{1}{3}$,$\frac{1}{3}$, ...

Sequences ${a_k}$ and ${c_k}$ such that $a_k$, $c_k \rightarrow 0$, $\sum_k a_k = \infty$, and $\sum_k\left(\frac{a_k}{c_k}\right )^{2} < \infty $

Solve : If $a$, $b$, $c$ and d are in H.P then find the value of $\frac{a + b}{ a - b} - \frac{c +d}{c -d}$

Does $\sum_{m=1}^{\infty}\sum_{n=1}^{\infty}a_{mn}^3=\sum_{n=1}^{\infty}\sum_{m=1}^{\infty}a_{mn}^3$ occur here?

Does $ \ (\sqrt[n]{n})^p \ \to 1 \ \text{as} \ n \to \infty \ \ \text{if} \ \ p < 1 \ $?

With $\alpha>0$, showing that $\int_0^1 t^\alpha(1-t^2)^kdt$ goes to $0$ as $k\to+\infty$

When does the limit $|\cos(n)|^{f(n)}$ converges as $n \rightarrow \infty, n \in \mathbb{N}$?

Finding value of a summation series.

Rearrangement of conditional convergent series

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