List questions from asymptotics

Published on 27 Mar 2026 - 18:57

145

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Asymptotic behaviour of $1- \left( \frac{\Gamma(n+\frac{1}{2})}{\sqrt{n} \Gamma(n)} \right) ^2$

Published on 16 Apr 2026 - 22:30

127

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How can I approximate $\sum\limits_{k=4}^{\infty}\Pr(X=k)[{\Pr(X\le k)}^6 - {\Pr(X\le k-4)}^6]$ for $\lambda \to +\infty$?

Published on 13 Apr 2026 - 13:47

673

Views

Confused about a limit proof and Big O.

Published on 11 Apr 2026 - 22:00

695

Views

When can we exchange expectation and maximum for asymptotic results?

Published on 14 Apr 2026 - 20:49

203

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Prove that $\prod_{k=1}^{\infty} \big\{(1+\frac1{k})^{k+\frac1{2}}\big/e\big\} = \dfrac{e}{\sqrt{2\pi}}$

Published on 16 Apr 2026 - 2:44

10k

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Determine whether $F(x)= 5x+10$ is $O(x^2)$

Published on 17 Apr 2026 - 3:42

11.8k

Views

Finding Big-O with Fractions

Published on 09 Apr 2026 - 12:25

1.7k

Views

Why are asymptotically one half of the integer compositions gap-free?

Published on 11 Apr 2026 - 17:47

453

Views

Closed form of $\sum\limits_{i=1}^n k^{1/i}$ or asymptotic equivalent when $n\to\infty$

Published on 15 Apr 2026 - 21:16

711

Views

how many ways to make change, asymptotics

Published on 08 Apr 2026 - 16:47

182

Views

Big-$O$ inside a log operation

Published on 12 Apr 2026 - 6:59

62

Views

Asymptotics and Related Properties

Published on 15 Apr 2026 - 8:15

89

Views

Is it possible for a function(f) to be $O(f)$ but not $o(f)$?

Published on 13 Apr 2026 - 9:46

193

Views

Numerical Analysis and Big O

Published on 10 Apr 2026 - 13:15

List Question

Order of a function related to divisors

Asymptotic behaviour of $1- \left( \frac{\Gamma(n+\frac{1}{2})}{\sqrt{n} \Gamma(n)} \right) ^2$

How can I approximate $\sum\limits_{k=4}^{\infty}\Pr(X=k)[{\Pr(X\le k)}^6 - {\Pr(X\le k-4)}^6]$ for $\lambda \to +\infty$?

Confused about a limit proof and Big O.

When can we exchange expectation and maximum for asymptotic results?

Prove that $\prod_{k=1}^{\infty} \big\{(1+\frac1{k})^{k+\frac1{2}}\big/e\big\} = \dfrac{e}{\sqrt{2\pi}}$

Determine whether $F(x)= 5x+10$ is $O(x^2)$

Finding Big-O with Fractions

Why are asymptotically one half of the integer compositions gap-free?

Closed form of $\sum\limits_{i=1}^n k^{1/i}$ or asymptotic equivalent when $n\to\infty$

how many ways to make change, asymptotics

Big-$O$ inside a log operation

Asymptotics and Related Properties

Is it possible for a function(f) to be $O(f)$ but not $o(f)$?

Numerical Analysis and Big O

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