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The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

score 217 · Answer 1 · 2026-03-25 15:41:10

217

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The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

Published on 25 Mar 2026 - 15:41

score 1.7k · Answer 2 · 2026-04-17 13:46:42

1.7k

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Prove the triangle inequality for series.

Published on 17 Apr 2026 - 13:46

score 466 · Answer 3 · 2026-04-16 14:54:05

466

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$\lim_{n \to \infty}|x_{n+k}-x_n|=0$, yet $\{x_n\}$ is not Cauchy.

Published on 16 Apr 2026 - 14:54

score 74 · Answer 4 · 2026-04-25 07:55:51

74

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Using the $N - \varepsilon$ definition to find the limit of a sequence

Published on 25 Apr 2026 - 7:55

score 364 · Answer 5 · 2026-04-25 08:07:08

364

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limit of a sum: $\sum_{n} = 1+x+2x^2+3x^3+...+nx^n$

Published on 25 Apr 2026 - 8:07

score 78 · Answer 6 · 2026-04-15 13:29:32

78

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$\sin x-\frac{1}{2}\sin ^2x+\frac{1}{4}\sin ^3x-\frac{1}{8}\sin ^4x....\forall x \in \mathbb{R}$ is convergent?

Published on 15 Apr 2026 - 13:29

score 81 · Answer 7 · 2026-04-16 03:21:42

81

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Exists a continuous function $f: \mathbb R \to \mathbb R$ with $f(x_n) = y_n, \, \forall n$ and $f(x) = y$

Published on 16 Apr 2026 - 3:21

score 132 · Answer 8 · 2026-04-14 23:59:32

132

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Absolute convergence of $\sum_\limits{n=1}^{\infty}(-1)^{n+1}e^{-n\sin x}$

Published on 14 Apr 2026 - 23:59

score 877 · Answer 9 · 2026-04-14 14:48:04

877

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What do we call "adjacent sequences/series" in English?

Published on 14 Apr 2026 - 14:48

score 1.1k · Answer 10 · 2026-04-15 02:06:21

1.1k

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Evaluate $\lim_{n\to \infty} \left( \sum_{r=0}^n \frac {2^r}{5^{2^r}+1}\right) $

Published on 15 Apr 2026 - 2:06

score 976 · Answer 11 · 2026-04-25 10:54:02

976

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Requesting basic explanation of the Lagrange inversion theorem

Published on 25 Apr 2026 - 10:54

score 59 · Answer 12 · 2026-04-16 03:38:11

59

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inequality of series, showing their difference is less than a number given it is monotonically increasing

Published on 16 Apr 2026 - 3:38

score 118 · Answer 13 · 2026-04-16 04:28:54

If $\lim_{n\rightarrow\infty} \frac{a_n}{b_n} = 0$ and $\sum_{n=0}^\infty b_n$ is convergent. Proving that $\sum_{n=0}^\infty a_n$ is also convergent

score 391 · Answer 14 · 2026-04-12 14:51:25

391

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How do you prove that a recursive sequence is increasing/decreasing?

Published on 12 Apr 2026 - 14:51

score 196 · Answer 15 · 2026-04-16 00:49:22

196

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Proving that a uniformly convergent series times a function is also uniformly convergent

Published on 16 Apr 2026 - 0:49

List Question

The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

Prove the triangle inequality for series.

$\lim_{n \to \infty}|x_{n+k}-x_n|=0$, yet $\{x_n\}$ is not Cauchy.

Using the $N - \varepsilon$ definition to find the limit of a sequence

limit of a sum: $\sum_{n} = 1+x+2x^2+3x^3+...+nx^n$

$\sin x-\frac{1}{2}\sin ^2x+\frac{1}{4}\sin ^3x-\frac{1}{8}\sin ^4x....\forall x \in \mathbb{R}$ is convergent?

Exists a continuous function $f: \mathbb R \to \mathbb R$ with $f(x_n) = y_n, \, \forall n$ and $f(x) = y$

Absolute convergence of $\sum_\limits{n=1}^{\infty}(-1)^{n+1}e^{-n\sin x}$

What do we call "adjacent sequences/series" in English?

Evaluate $\lim_{n\to \infty} \left( \sum_{r=0}^n \frac {2^r}{5^{2^r}+1}\right) $

Requesting basic explanation of the Lagrange inversion theorem

inequality of series, showing their difference is less than a number given it is monotonically increasing

If $\lim_{n\rightarrow\infty} \frac{a_n}{b_n} = 0$ and $\sum_{n=0}^\infty b_n$ is convergent. Proving that $\sum_{n=0}^\infty a_n$ is also convergent

How do you prove that a recursive sequence is increasing/decreasing?

Proving that a uniformly convergent series times a function is also uniformly convergent

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