Question

Asymptotic behavior of the solution of a 2nd order linear ordinary differential equation

score 50 · Answer 1 · 2014-11-24 14:04:51

50

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Asymptotic behavior of the solution of a 2nd order linear ordinary differential equation

Published on 24 Nov 2014 - 14:04

score 116 · Answer 2 · 2014-11-24 23:40:10

116

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Asymptotics for the Alternating Mertens Function

Published on 24 Nov 2014 - 23:40

score 256 · Answer 3 · 2026-04-06 10:54:46

256

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Counting function for the number of zeros of a continuous positive function?

Published on 06 Apr 2026 - 10:54

score 76 · Answer 4 · 2026-03-26 17:53:36

76

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The asymptotic behavior of $\sum_{n=1}^\infty\frac{1-\cos(x4^n)}{2^n}$ as $x\to 0$

Published on 26 Mar 2026 - 17:53

score 272 · Answer 5 · 2026-03-29 23:24:53

272

Views

Big Oh notation involving $\log n!\in O(n\log n)$

Published on 29 Mar 2026 - 23:24

score 45 · Answer 6 · 2026-03-29 23:29:07

45

Views

Prove $8n^{3}$ $+$ $√n$ $∈$ $Θ$($n^{3})$

Published on 29 Mar 2026 - 23:29

score 85 · Answer 7 · 2026-03-25 17:40:12

85

Views

big $\mathcal O$ for number of prime in an interval?

Published on 25 Mar 2026 - 17:40

score 19 · Answer 8 · 2026-04-01 13:48:45

19

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General or specific property? $(1-p)^{-x^2} = x^2 p + \mathcal{O}(p^2)$

Published on 01 Apr 2026 - 13:48

score 161 · Answer 9 · 2014-11-26 16:31:12

Asymptotics of $\prod_{x=1}^{\lceil\frac{n}{\log_2{n} }\rceil} \left(\frac{1}{\sqrt{n}} + x\left(\frac{1}{n}-\frac{2}{n^\frac{3}{2}} \right)\right) $

score 3.4k · Answer 10 · 2014-11-27 00:29:41

3.4k

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Is there a function thats not in Big O and not in Big Omega?

Published on 27 Nov 2014 - 0:29

score 1.3k · Answer 11 · 2026-04-02 23:01:47

1.3k

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How to prove that $\omega (n) = O\Big{(} \frac{\log(n)}{\log(\log(n))}\Big{)}$ as $n \to \infty$?

Published on 02 Apr 2026 - 23:01

score 64 · Answer 12 · 2026-03-29 23:25:56

64

Views

How can we show that $\lim_{n \to +\infty} f(n)=+\infty$?

Published on 29 Mar 2026 - 23:25

score 105 · Answer 13 · 2014-11-29 16:26:50

105

Views

Check if $2^{2^n}=O(2^n)$

Published on 29 Nov 2014 - 16:26

score 8.2k · Answer 14 · 2026-03-29 23:29:13

8.2k

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Which is the greatest integer value of $a$, for which $A'$ is asymptotically faster than $A$?

Published on 29 Mar 2026 - 23:29

score 2k · Answer 15 · 2014-11-30 21:38:48

2k

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A function whose graph has vertical asymptotes at $x=+2$ and $x=-2$, and a horizontal asymptote at $y=0$

Published on 30 Nov 2014 - 21:38

List Question

Asymptotic behavior of the solution of a 2nd order linear ordinary differential equation

Asymptotics for the Alternating Mertens Function

Counting function for the number of zeros of a continuous positive function?

The asymptotic behavior of $\sum_{n=1}^\infty\frac{1-\cos(x4^n)}{2^n}$ as $x\to 0$

Big Oh notation involving $\log n!\in O(n\log n)$

Prove $8n^{3}$ $+$ $√n$ $∈$ $Θ$($n^{3})$

big $\mathcal O$ for number of prime in an interval?

General or specific property? $(1-p)^{-x^2} = x^2 p + \mathcal{O}(p^2)$

Asymptotics of $\prod_{x=1}^{\lceil\frac{n}{\log_2{n} }\rceil} \left(\frac{1}{\sqrt{n}} + x\left(\frac{1}{n}-\frac{2}{n^\frac{3}{2}} \right)\right) $

Is there a function thats not in Big O and not in Big Omega?

How to prove that $\omega (n) = O\Big{(} \frac{\log(n)}{\log(\log(n))}\Big{)}$ as $n \to \infty$?

How can we show that $\lim_{n \to +\infty} f(n)=+\infty$?

Check if $2^{2^n}=O(2^n)$

Which is the greatest integer value of $a$, for which $A'$ is asymptotically faster than $A$?

A function whose graph has vertical asymptotes at $x=+2$ and $x=-2$, and a horizontal asymptote at $y=0$

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