Question

If for some $n\in\mathbb{N}$, $\lim\limits_{x\to\infty}\frac{f(x)}{x^n}$ exists, then $f$ is rational

score 75 · Answer 1 · 2026-04-16 03:28:45

75

Views

If for some $n\in\mathbb{N}$, $\lim\limits_{x\to\infty}\frac{f(x)}{x^n}$ exists, then $f$ is rational

Published on 16 Apr 2026 - 3:28

score 118 · Answer 2 · 2026-04-13 05:43:42

118

Views

Determine numerical infinity for Schrodinger equation $−\psi''(z) − (iz)^ N \psi(z) = E\psi(z)$

Published on 13 Apr 2026 - 5:43

score 1.3k · Answer 3 · 2026-04-10 03:21:18

1.3k

Views

Which one is asymptotically larger?

Published on 10 Apr 2026 - 3:21

score 1.6k · Answer 4 · 2026-04-17 13:10:59

1.6k

Views

Hello. I need to show that $\sqrt n$ grows faster than $(\log n)^{100}$

Published on 17 Apr 2026 - 13:10

score 1.2k · Answer 5 · 2026-04-13 12:40:22

1.2k

Views

Simple Sigmoid function that levels off at specific points

Published on 13 Apr 2026 - 12:40

score 172 · Answer 6 · 2026-04-13 16:48:33

172

Views

Products of $k^{\mu(k)}$, where $\mu(n)$ is Möbius function, and the Prime Number Theorem

Published on 13 Apr 2026 - 16:48

score 1.7k · Answer 7 · 2026-04-14 14:35:06

1.7k

Views

Big O for a $\cos$ series

Published on 14 Apr 2026 - 14:35

score 224 · Answer 8 · 2026-03-27 16:20:17

224

Views

Approximation of a quotient that involves the Lambert function.

Published on 27 Mar 2026 - 16:20

score 50 · Answer 9 · 2026-04-14 02:42:21

50

Views

Function $(2.2)^n$ -- what is it?

Published on 14 Apr 2026 - 2:42

score 405 · Answer 10 · 2026-03-27 03:41:09

405

Views

Asymptotic behavior of integrals of Legendre polynomials

Published on 27 Mar 2026 - 3:41

score 115 · Answer 11 · 2026-03-27 08:42:53

115

Views

More elegant derivation of the shift in median bin occupancy

Published on 27 Mar 2026 - 8:42

score 41 · Answer 12 · 2026-04-10 08:48:20

41

Views

Average of numbers converges, then what happens to the maximum

Published on 10 Apr 2026 - 8:48

score 237 · Answer 13 · 2026-04-10 16:08:58

237

Views

Does "the functions agree at infinity" mean anything?

Published on 10 Apr 2026 - 16:08

score 36 · Answer 14 · 2026-04-14 11:04:59

36

Views

For what maximum positive $k$ is $2n \sin^{2} \frac{\pi}{n} > \tan \frac{k\pi}{n}$ true?

Published on 14 Apr 2026 - 11:04

score 64 · Answer 15 · 2026-04-14 19:05:06

64

Views

$N$ is approximately linear in $d$ for $N^d=\frac12 e^{N}$

Published on 14 Apr 2026 - 19:05

List Question

If for some $n\in\mathbb{N}$, $\lim\limits_{x\to\infty}\frac{f(x)}{x^n}$ exists, then $f$ is rational

Determine numerical infinity for Schrodinger equation $−\psi''(z) − (iz)^ N \psi(z) = E\psi(z)$

Which one is asymptotically larger?

Hello. I need to show that $\sqrt n$ grows faster than $(\log n)^{100}$

Simple Sigmoid function that levels off at specific points

Products of $k^{\mu(k)}$, where $\mu(n)$ is Möbius function, and the Prime Number Theorem

Big O for a $\cos$ series

Approximation of a quotient that involves the Lambert function.

Function $(2.2)^n$ -- what is it?

Asymptotic behavior of integrals of Legendre polynomials

More elegant derivation of the shift in median bin occupancy

Average of numbers converges, then what happens to the maximum

Does "the functions agree at infinity" mean anything?

For what maximum positive $k$ is $2n \sin^{2} \frac{\pi}{n} > \tan \frac{k\pi}{n}$ true?

$N$ is approximately linear in $d$ for $N^d=\frac12 e^{N}$

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