Question

Asymptotic behavior of the integral $H(\beta)=\frac{2}{\pi}\beta\int_{0}^{\infty}\exp\left(-x^{3/2}\right)\sin(\beta x)xdx$

score 212 · Answer 1 · 2026-03-29 19:11:49

212

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Asymptotic behavior of the integral $H(\beta)=\frac{2}{\pi}\beta\int_{0}^{\infty}\exp\left(-x^{3/2}\right)\sin(\beta x)xdx$

Published on 29 Mar 2026 - 19:11

score 43 · Answer 2 · 2019-02-16 16:32:05

43

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Asymptotic expansion of $n(\sqrt[n]{a} - 1)$, if $a > 0$, to terms of $O\Big(\frac{1}{n^3}\Big)$

Published on 16 Feb 2019 - 16:32

score 252 · Answer 3 · 2026-03-25 10:54:18

252

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Does Aitken's $\Delta^2$ method asymptotically improve rate of convergence?

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score 90 · Answer 4 · 2026-03-26 04:34:06

90

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score 223 · Answer 5 · 2026-03-26 06:19:25

223

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score 98 · Answer 6 · 2019-02-18 14:21:53

98

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score 98 · Answer 7 · 2026-03-25 15:51:03

98

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Question about proportion of Nim positions

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score 37 · Answer 8 · 2019-02-20 06:02:27

37

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Is $O(f(n)\cdot g(n)) = f(n)\cdot O(g(n))$?

Published on 20 Feb 2019 - 6:02

score 2.6k · Answer 9 · 2019-02-20 22:32:28

2.6k

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Evaluate the limit of $\arctan(\frac{1}{x - 2})$ where $x \to 2^+$.

Published on 20 Feb 2019 - 22:32

score 167 · Answer 10 · 2019-02-21 00:04:17

167

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Find $\lim_{x \to \infty} \frac{x^2+x}{3-x}$

Published on 21 Feb 2019 - 0:04

score 361 · Answer 11 · 2026-03-25 03:22:57

361

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Convergence Rate of Smoothing Splines

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score 323 · Answer 12 · 2019-02-24 15:12:01

323

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Published on 24 Feb 2019 - 15:12

score 92 · Answer 13 · 2026-03-29 05:12:11

92

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Prove whether $f(n)$ is $O$, $o$, $\Omega$, $\omega$ or $\Theta$ of $g(n)$. $f(n) = n$, $g(n) = (\log n)^c$ for positive integer $c$.

Published on 29 Mar 2026 - 5:12

score 859 · Answer 14 · 2026-03-29 03:53:18

859

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What does it mean by "f is dominated by g asymptotically" for f(n)=o(g(n))?

Published on 29 Mar 2026 - 3:53

score 1.4k · Answer 15 · 2026-03-22 17:49:06

1.4k

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Asymptotics of Jacobi's third theta function.

Published on 22 Mar 2026 - 17:49

List Question

Asymptotic behavior of the integral $H(\beta)=\frac{2}{\pi}\beta\int_{0}^{\infty}\exp\left(-x^{3/2}\right)\sin(\beta x)xdx$

Asymptotic expansion of $n(\sqrt[n]{a} - 1)$, if $a > 0$, to terms of $O\Big(\frac{1}{n^3}\Big)$

Does Aitken's $\Delta^2$ method asymptotically improve rate of convergence?

Asymptotic behaviour of the intersection volume of balls with the same radius

Numbers with exactly 1 square (prime) factor

Asymptotic behaviour of a fourier transform

Question about proportion of Nim positions

Is $O(f(n)\cdot g(n)) = f(n)\cdot O(g(n))$?

Evaluate the limit of $\arctan(\frac{1}{x - 2})$ where $x \to 2^+$.

Find $\lim_{x \to \infty} \frac{x^2+x}{3-x}$

Convergence Rate of Smoothing Splines

Product of 2 little oh function

Prove whether $f(n)$ is $O$, $o$, $\Omega$, $\omega$ or $\Theta$ of $g(n)$. $f(n) = n$, $g(n) = (\log n)^c$ for positive integer $c$.

What does it mean by "f is dominated by g asymptotically" for f(n)=o(g(n))?

Asymptotics of Jacobi's third theta function.

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