Question

Which one is asymptotically larger? $100n+\log n$ Or $n+(\log n)^2$

score 2.7k · Answer 1 · 2018-06-10 07:43:31

2.7k

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Which one is asymptotically larger? $100n+\log n$ Or $n+(\log n)^2$

Published on 10 Jun 2018 - 7:43

score 46 · Answer 2 · 2026-03-26 12:57:55

46

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Can't find the way to solve this problem related to limits.

Published on 26 Mar 2026 - 12:57

score 62 · Answer 3 · 2018-06-12 21:18:38

62

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An argument involving big-O notation

Published on 12 Jun 2018 - 21:18

score 60 · Answer 4 · 2018-06-12 23:39:05

60

Views

Asymptotic behaviour of the function $f(x) = \frac {k}{(a^2 + x^2)^{ {3}/{2}}}\vec e_x$

Published on 12 Jun 2018 - 23:39

score 100 · Answer 5 · 2026-03-23 03:56:32

100

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Which one is bigger? Logarithms and trigonometric functions

Published on 23 Mar 2026 - 3:56

score 338 · Answer 6 · 2018-06-13 18:24:42

338

Views

Is there a special case for equations of curves that have parallel oblique asymtotes?

Published on 13 Jun 2018 - 18:24

score 166 · Answer 7 · 2018-06-14 22:28:45

166

Views

Questions about Big-O notation

Published on 14 Jun 2018 - 22:28

score 63 · Answer 8 · 2026-03-25 17:21:00

63

Views

An asymptotic about the recurrence $a_{n+1}=n\varphi(a_n)+a_{\varphi(n)}$, with $a_1=1$ and being $\varphi(m)$ the Euler's totient function

Published on 25 Mar 2026 - 17:21

score 106 · Answer 9 · 2026-03-25 21:51:14

106

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What's $K$ (if it exists) in $\prod_{w \leq p < z} \left(1- \frac{1}{\phi(p)}\right)^{-1} \leq K \left(\frac{\log z}{\log w}\right)$?

Published on 25 Mar 2026 - 21:51

score 118 · Answer 10 · 2018-06-18 09:41:43

118

Views

consider the given code snippet and find its time complexity.

Published on 18 Jun 2018 - 9:41

score 105 · Answer 11 · 2018-06-18 12:18:20

105

Views

Asymptotic expansion of $v_n = 2^nu_n$ where $u_{n+1} = \dfrac{1}{2}\arctan(u_n)$

Published on 18 Jun 2018 - 12:18

score 94 · Answer 12 · 2018-06-18 14:43:12

94

Views

Can an integrable discontinuous function have vertical asymtpotes?

Published on 18 Jun 2018 - 14:43

score 64 · Answer 13 · 2018-06-18 17:37:14

64

Views

Does this $\int_{9}^{+\infty}\frac{\ln\left(x^5+1\right)+2x^3+1}{x^5\arctan\left(x^3\right)-2\sin\left(5x\right)} dx$ converge or diverge?

Published on 18 Jun 2018 - 17:37

score 461 · Answer 14 · 2026-03-26 16:14:12

461

Views

Behavior of $\sum_{k=0}^n (-1)^k {2n \choose k} (1-\frac{k}{n})^2 \ln(1-\frac{k}{n})$

Published on 26 Mar 2026 - 16:14

score 139 · Answer 15 · 2026-03-25 12:55:13

139

Views

Tight asymptotic upper-bound via Chebyshev

Published on 25 Mar 2026 - 12:55

List Question

Which one is asymptotically larger? $100n+\log n$ Or $n+(\log n)^2$

Can't find the way to solve this problem related to limits.

An argument involving big-O notation

Asymptotic behaviour of the function $f(x) = \frac {k}{(a^2 + x^2)^{ {3}/{2}}}\vec e_x$

Which one is bigger? Logarithms and trigonometric functions

Is there a special case for equations of curves that have parallel oblique asymtotes?

Questions about Big-O notation

An asymptotic about the recurrence $a_{n+1}=n\varphi(a_n)+a_{\varphi(n)}$, with $a_1=1$ and being $\varphi(m)$ the Euler's totient function

What's $K$ (if it exists) in $\prod_{w \leq p < z} \left(1- \frac{1}{\phi(p)}\right)^{-1} \leq K \left(\frac{\log z}{\log w}\right)$?

consider the given code snippet and find its time complexity.

Asymptotic expansion of $v_n = 2^nu_n$ where $u_{n+1} = \dfrac{1}{2}\arctan(u_n)$

Can an integrable discontinuous function have vertical asymtpotes?

Does this $\int_{9}^{+\infty}\frac{\ln\left(x^5+1\right)+2x^3+1}{x^5\arctan\left(x^3\right)-2\sin\left(5x\right)} dx$ converge or diverge?

Behavior of $\sum_{k=0}^n (-1)^k {2n \choose k} (1-\frac{k}{n})^2 \ln(1-\frac{k}{n})$

Tight asymptotic upper-bound via Chebyshev

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