Question

Asymptotics of a logarithmic integral

score 140 · Answer 1 · 2019-10-04 13:16:46

140

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Asymptotics of a logarithmic integral

Published on 04 Oct 2019 - 13:16

score 268 · Answer 2 · 2026-04-01 20:40:50

268

Views

How to prove $n^6$ is big-O but not big-Omega of the function $(1.001)^n$

Published on 01 Apr 2026 - 20:40

score 24 · Answer 3 · 2026-04-01 20:40:50

24

Views

Asymptotic relation between $n^2 (n-2\lfloor \frac{n}{2} \rfloor)$ and $2\lfloor \frac{n}{2} \rfloor$

Published on 01 Apr 2026 - 20:40

score 12 · Answer 4 · 2026-04-02 06:51:28

Answer or Guide me Through This Question. Show that the function is ϴ(n^4) by first showing that it is O(n^4) and then by showing it it also Ω(n^4)

score 26 · Answer 5 · 2026-04-02 02:14:03

26

Views

If $n\rightarrow \infty, h_n\rightarrow 0$ and $n h_n\rightarrow 0$, then $n=o(1/h)$.

Published on 02 Apr 2026 - 2:14

score 111 · Answer 6 · 2026-03-30 04:44:23

111

Views

Upper bound of $\sum_{i \in S} i \log i $ with respect to the sum of elements in list $S$?

Published on 30 Mar 2026 - 4:44

score 154 · Answer 7 · 2019-10-05 23:31:31

154

Views

Sum of two sequences bounded in probability

Published on 05 Oct 2019 - 23:31

score 87 · Answer 8 · 2026-03-25 14:08:57

87

Views

Asymptotic of the positive root of $x^n-\sum_{k=0}^{n-1} x^k = 0$

Published on 25 Mar 2026 - 14:08

score 38 · Answer 9 · 2019-10-06 15:49:22

38

Views

Find the value of $p$ for which the $x$-axis is a tangent to C

Published on 06 Oct 2019 - 15:49

score 170 · Answer 10 · 2026-04-02 10:49:36

170

Views

Integral From Electricity and Magnetism

Published on 02 Apr 2026 - 10:49

score 652 · Answer 11 · 2019-10-07 14:44:37

652

Views

Prove that $\sum_{i=1}^n\Theta(i)=\Theta(n^2)$.

Published on 07 Oct 2019 - 14:44

score 24 · Answer 12 · 2019-10-07 18:32:34

Find functions $f(n)$ and $g(n)$ such that $f(n)\in\Omega(g(n))\setminus\Theta(g(n))$, but $\lim_{n\to\infty}$ does not exist.

score 286 · Answer 13 · 2026-03-25 09:38:37

286

Views

Leading behavior of Laplace integral $e^{-x \tan^2(\theta)}$

Published on 25 Mar 2026 - 9:38

score 61 · Answer 14 · 2019-10-08 04:39:48

61

Views

How to prove $\int_{1}^{\infty}\frac{e^{-tx^2}}{x^2} \{x\} dx=1-γ+O(\sqrt t)$ when $t \to 0^+$

Published on 08 Oct 2019 - 4:39

score 137 · Answer 15 · 2019-10-08 13:47:37

137

Views

Prove that $n^2= \theta(5n^2+n)$

Published on 08 Oct 2019 - 13:47

List Question

Asymptotics of a logarithmic integral

How to prove $n^6$ is big-O but not big-Omega of the function $(1.001)^n$

Asymptotic relation between $n^2 (n-2\lfloor \frac{n}{2} \rfloor)$ and $2\lfloor \frac{n}{2} \rfloor$

Answer or Guide me Through This Question. Show that the function is ϴ(n^4) by first showing that it is O(n^4) and then by showing it it also Ω(n^4)

If $n\rightarrow \infty, h_n\rightarrow 0$ and $n h_n\rightarrow 0$, then $n=o(1/h)$.

Upper bound of $\sum_{i \in S} i \log i $ with respect to the sum of elements in list $S$?

Sum of two sequences bounded in probability

Asymptotic of the positive root of $x^n-\sum_{k=0}^{n-1} x^k = 0$

Find the value of $p$ for which the $x$-axis is a tangent to C

Integral From Electricity and Magnetism

Prove that $\sum_{i=1}^n\Theta(i)=\Theta(n^2)$.

Find functions $f(n)$ and $g(n)$ such that $f(n)\in\Omega(g(n))\setminus\Theta(g(n))$, but $\lim_{n\to\infty}$ does not exist.

Leading behavior of Laplace integral $e^{-x \tan^2(\theta)}$

How to prove $\int_{1}^{\infty}\frac{e^{-tx^2}}{x^2} \{x\} dx=1-γ+O(\sqrt t)$ when $t \to 0^+$

Prove that $n^2= \theta(5n^2+n)$

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